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97906944 = 283177499
BaseRepresentation
bin1011101010111…
…11000100000000
320211020012002010
411311133010000
5200031010234
613414252520
72266123662
oct565370400
9224205063
1097906944
11502a1a33
1228957140
131738cc05
14d008532
1588de6e9
hex5d5f100

97906944 has 72 divisors (see below), whose sum is σ = 275940000. Its totient is φ = 30711808.

The previous prime is 97906933. The next prime is 97906951. The reversal of 97906944 is 44960979.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 97906893 and 97906902.

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, 9307 + ... + 16805.

It is an arithmetic number, because the mean of its divisors is an integer number (3832500).

Almost surely, 297906944 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 97906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137970000).

97906944 is an abundant number, since it is smaller than the sum of its proper divisors (178033056).

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

97906944 is a wasteful number, since it uses less digits than its factorization.

97906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 97906944 is about 9894.7937825909. The cubic root of 97906944 is about 460.8976548432.

The spelling of 97906944 in words is "ninety-seven million, nine hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 7499 13056 14998 22497 29996 44994 59992 89988 119984 127483 179976 239968 254966 359952 382449 479936 509932 719904 764898 959872 1019864 1439808 1529796 1919744 2039728 2879616 3059592 4079456 5759232 6119184 8158912 12238368 16317824 24476736 32635648 48953472 97906944