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97253568 = 2633232447
BaseRepresentation
bin1011100101111…
…11100011000000
320202222222211000
411302333203000
5144344103233
613352252000
72260433046
oct562774300
9222888730
1097253568
114a996055
12286a1000
13171c16b9
14ccb8396
158810d13
hex5cbf8c0

97253568 has 112 divisors (see below), whose sum is σ = 298460160. Its totient is φ = 30995712.

The previous prime is 97253567. The next prime is 97253579. The reversal of 97253568 is 86535279.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (97253561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38521 + ... + 40967.

Almost surely, 297253568 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 97253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149230080).

97253568 is an abundant number, since it is smaller than the sum of its proper divisors (201206592).

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

97253568 is a wasteful number, since it uses less digits than its factorization.

97253568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2475 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 97253568 is about 9861.7223647799. The cubic root of 97253568 is about 459.8701082530.

The spelling of 97253568 in words is "ninety-seven million, two hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2447 2484 3312 4416 4894 4968 6624 7341 9788 9936 13248 14682 19576 19872 22023 29364 39152 39744 44046 56281 58728 66069 78304 88092 112562 117456 132138 156608 168843 176184 225124 234912 264276 337686 352368 450248 469824 506529 528552 675372 704736 900496 1013058 1057104 1350744 1409472 1519587 1800992 2026116 2114208 2701488 3039174 3601984 4052232 4228416 5402976 6078348 8104464 10805952 12156696 16208928 24313392 32417856 48626784 97253568