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4445055440 = 245723467739
BaseRepresentation
bin1000010001111001…
…00010100111010000
3102110210011012201222
410020330202213100
533100413233230
62013024544212
7215103230210
oct41074424720
912423135658
104445055440
111981132a41
12a40782068
1355aba9927
143024c6240
151b03886e5
hex108f229d0

4445055440 has 160 divisors (see below), whose sum is σ = 12367779840. Its totient is φ = 1452667392.

The previous prime is 4445055389. The next prime is 4445055443. The reversal of 4445055440 is 445505444.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4445055440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4445055443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6014591 + ... + 6015329.

It is an arithmetic number, because the mean of its divisors is an integer number (77298624).

Almost surely, 24445055440 is an apocalyptic number.

4445055440 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 4445055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183889920).

4445055440 is an abundant number, since it is smaller than the sum of its proper divisors (7922724400).

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

4445055440 is a wasteful number, since it uses less digits than its factorization.

4445055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

The square root of 4445055440 is about 66671.2489758517. The cubic root of 4445055440 is about 1644.2167216655.

The spelling of 4445055440 in words is "four billion, four hundred forty-five million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 467 560 644 739 805 920 934 1288 1478 1610 1840 1868 2335 2576 2956 3220 3269 3695 3736 4670 5173 5912 6440 6538 7390 7472 9340 10346 10741 11824 12880 13076 14780 16345 16997 18680 20692 21482 25865 26152 29560 32690 33994 37360 41384 42964 51730 52304 53705 59120 65380 67988 75187 82768 84985 85928 103460 107410 118979 130760 135976 150374 169970 171856 206920 214820 237958 261520 271952 300748 339940 345113 375935 413840 429640 475916 594895 601496 679880 690226 751870 859280 951832 1189790 1202992 1359760 1380452 1503740 1725565 1903664 2379580 2415791 2760904 3007480 3451130 4759160 4831582 5521808 6014960 6902260 7937599 9518320 9663164 12078955 13804520 15875198 19326328 24157910 27609040 31750396 38652656 39687995 48315820 55563193 63500792 79375990 96631640 111126386 127001584 158751980 193263280 222252772 277815965 317503960 444505544 555631930 635007920 889011088 1111263860 2222527720 4445055440