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644097972 = 2237172271987
BaseRepresentation
bin100110011001000…
…010011110110100
31122212222120022110
4212121002132310
52304342113342
6143525131020
721650512440
oct4631023664
91585876273
10644097972
11300638381
1215b859a70
13a359877b
1461785820
153b82dc9c
hex266427b4

644097972 has 96 divisors (see below), whose sum is σ = 1827560448. Its totient is φ = 172353024.

The previous prime is 644097931. The next prime is 644097983. The reversal of 644097972 is 279790446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323163 + ... + 325149.

It is an arithmetic number, because the mean of its divisors is an integer number (19037088).

Almost surely, 2644097972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644097972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913780224).

644097972 is an abundant number, since it is smaller than the sum of its proper divisors (1183462476).

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

644097972 is a wasteful number, since it uses less digits than its factorization.

644097972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 644097972 is about 25379.0853263076. The cubic root of 644097972 is about 863.6093001616.

The spelling of 644097972 in words is "six hundred forty-four million, ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 227 238 357 454 476 681 714 908 1362 1428 1589 1987 2724 3178 3859 3974 4767 5961 6356 7718 7948 9534 11577 11922 13909 15436 19068 23154 23844 27013 27818 33779 41727 46308 54026 55636 67558 81039 83454 101337 108052 135116 162078 166908 202674 236453 324156 405348 451049 472906 709359 902098 945812 1353147 1418718 1804196 2706294 2837436 3157343 5412588 6314686 7667833 9472029 12629372 15335666 18944058 23003499 30671332 37888116 46006998 53674831 92013996 107349662 161024493 214699324 322048986 644097972