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97534656 = 2632295839
BaseRepresentation
bin1011101000001…
…00001011000000
320210112021101200
411310010023000
5144432102111
613402301200
72263013412
oct564041300
9223467350
1097534656
115006825a
12287b7800
131728c61b
14cd4c9b2
158869256
hex5d042c0

97534656 has 84 divisors (see below), whose sum is σ = 289255200. Its totient is φ = 31385088.

The previous prime is 97534631. The next prime is 97534663. The reversal of 97534656 is 65643579.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13785 + ... + 19623.

Almost surely, 297534656 is an apocalyptic number.

97534656 is a gapful number since it is divisible by the number (96) 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 97534656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144627600).

97534656 is an abundant number, since it is smaller than the sum of its proper divisors (191720544).

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

97534656 is a wasteful number, since it uses less digits than its factorization.

97534656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5873 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 97534656 is about 9875.9635479279. The cubic root of 97534656 is about 460.3127300021.

The spelling of 97534656 in words is "ninety-seven million, five hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 5839 8352 11678 16704 17517 23356 35034 46712 52551 70068 93424 105102 140136 169331 186848 210204 280272 338662 373696 420408 507993 560544 677324 840816 1015986 1121088 1354648 1523979 1681632 2031972 2709296 3047958 3363264 4063944 5418592 6095916 8127888 10837184 12191832 16255776 24383664 32511552 48767328 97534656