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4416290640 = 243353376067
BaseRepresentation
bin1000001110011101…
…10011111101010000
3102101210000210212000
410013032303331100
533021032300030
62010120234000
7214303564626
oct40716637520
912353023760
104416290640
111966976583
12a3300b900
13554c47c38
142dc759516
151acaa5860
hex1073b3f50

4416290640 has 160 divisors (see below), whose sum is σ = 15259320960. Its totient is φ = 1173989376.

The previous prime is 4416290633. The next prime is 4416290647. The reversal of 4416290640 is 460926144.

4416290640 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 2 + 9 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4416290633) and next prime (4416290647).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4416290595 and 4416290604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416290647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724887 + ... + 730953.

It is an arithmetic number, because the mean of its divisors is an integer number (95370756).

Almost surely, 24416290640 is an apocalyptic number.

4416290640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629660480).

4416290640 is an abundant number, since it is smaller than the sum of its proper divisors (10843030320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4416290640 is a wasteful number, since it uses less digits than its factorization.

4416290640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4416290640 is about 66455.1776763858. The cubic root of 4416290640 is about 1640.6623638185.

The spelling of 4416290640 in words is "four billion, four hundred sixteen million, two hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 337 360 432 540 674 720 1011 1080 1348 1685 2022 2160 2696 3033 3370 4044 5055 5392 6066 6067 6740 8088 9099 10110 12132 12134 13480 15165 16176 18198 18201 20220 24264 24268 26960 30330 30335 36396 36402 40440 45495 48528 48536 54603 60660 60670 72792 72804 80880 90990 91005 97072 109206 121320 121340 145584 145608 163809 181980 182010 218412 242640 242680 273015 291216 327618 363960 364020 436824 485360 546030 655236 727920 728040 819045 873648 1092060 1310472 1456080 1638090 2044579 2184120 2620944 3276180 4089158 4368240 6133737 6552360 8178316 10222895 12267474 13104720 16356632 18401211 20445790 24534948 30668685 32713264 36802422 40891580 49069896 55203633 61337370 73604844 81783160 92006055 98139792 110407266 122674740 147209688 163566320 184012110 220814532 245349480 276018165 294419376 368024220 441629064 490698960 552036330 736048440 883258128 1104072660 1472096880 2208145320 4416290640