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4495353840 = 2432514941903
BaseRepresentation
bin1000010111111000…
…11010011111110000
3102121021210122011200
410023330122133300
533201302310330
62022023011200
7216253606605
oct41374323760
912537718150
104495353840
1119a756796a
12a55599b00
1356843aab3
1430905a6ac
151b49c1a60
hex10bf1a7f0

4495353840 has 120 divisors (see below), whose sum is σ = 15198580800. Its totient is φ = 1190687232.

The previous prime is 4495353833. The next prime is 4495353847. The reversal of 4495353840 is 483535944.

4495353840 is a `hidden beast` number, since 4 + 49 + 535 + 38 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4495353833) and next prime (4495353847).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×44953538402 = 40416412293605491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4495353847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86329 + ... + 128231.

It is an arithmetic number, because the mean of its divisors is an integer number (126654840).

Almost surely, 24495353840 is an apocalyptic number.

4495353840 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 4495353840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599290400).

4495353840 is an abundant number, since it is smaller than the sum of its proper divisors (10703226960).

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

4495353840 is a wasteful number, since it uses less digits than its factorization.

4495353840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42071 (or 42062 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 4495353840 is about 67047.3999495879. The cubic root of 4495353840 is about 1650.3952331439.

The spelling of 4495353840 in words is "four billion, four hundred ninety-five million, three hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 149 180 240 298 360 447 596 720 745 894 1192 1341 1490 1788 2235 2384 2682 2980 3576 4470 5364 5960 6705 7152 8940 10728 11920 13410 17880 21456 26820 35760 41903 53640 83806 107280 125709 167612 209515 251418 335224 377127 419030 502836 628545 670448 754254 838060 1005672 1257090 1508508 1676120 1885635 2011344 2514180 3017016 3352240 3771270 5028360 6034032 6243547 7542540 10056720 12487094 15085080 18730641 24974188 30170160 31217735 37461282 49948376 56191923 62435470 74922564 93653205 99896752 112383846 124870940 149845128 187306410 224767692 249741880 280959615 299690256 374612820 449535384 499483760 561919230 749225640 899070768 1123838460 1498451280 2247676920 4495353840