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896962432 = 27173113297
BaseRepresentation
bin110101011101101…
…000111110000000
32022111210102010211
4311131220332000
53314110244212
6225001003504
731141024552
oct6535507600
92274712124
10896962432
11420348173
12210483594
13113aa1c02
14871a94d2
1553b2b9a7
hex35768f80

896962432 has 64 divisors (see below), whose sum is σ = 1953210240. Its totient is φ = 408453120.

The previous prime is 896962411. The next prime is 896962471. The reversal of 896962432 is 234269698.

It is a happy number.

896962432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60808 + ... + 74104.

It is an arithmetic number, because the mean of its divisors is an integer number (30518910).

Almost surely, 2896962432 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 896962432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976605120).

896962432 is an abundant number, since it is smaller than the sum of its proper divisors (1056247808).

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

896962432 is a wasteful number, since it uses less digits than its factorization.

896962432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13359 (or 13347 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 49.

The square root of 896962432 is about 29949.3310776718. The cubic root of 896962432 is about 964.4019604332.

The spelling of 896962432 in words is "eight hundred ninety-six million, nine hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 992 1054 1088 1984 2108 2176 3968 4216 8432 13297 16864 26594 33728 53188 67456 106376 212752 226049 412207 425504 452098 824414 851008 904196 1648828 1702016 1808392 3297656 3616784 6595312 7007519 7233568 13190624 14015038 14467136 26381248 28030076 28934272 52762496 56060152 112120304 224240608 448481216 896962432