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97197568 = 291317859
BaseRepresentation
bin1011100101100…
…01111000000000
320202220010222221
411302301320000
5144340310233
613351140424
72260110556
oct562617000
9222803887
1097197568
114a957a76
1228674714
13171a2070
14cca1bd6
1587ee42d
hex5cb1e00

97197568 has 80 divisors (see below), whose sum is σ = 221704560. Its totient is φ = 42172416.

The previous prime is 97197497. The next prime is 97197599. The reversal of 97197568 is 86579179.

It is a happy number.

It is a super-2 number, since 2×971975682 = 18894734450229248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112723 + ... + 113581.

It is an arithmetic number, because the mean of its divisors is an integer number (2771307).

Almost surely, 297197568 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 97197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110852280).

97197568 is an abundant number, since it is smaller than the sum of its proper divisors (124506992).

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

97197568 is a wasteful number, since it uses less digits than its factorization.

97197568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 891 counting only the distinct ones).

The product of its digits is 952560, while the sum is 52.

The square root of 97197568 is about 9858.8826953159. The cubic root of 97197568 is about 459.7818247035.

The spelling of 97197568 in words is "ninety-seven million, one hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 859 884 1088 1664 1718 1768 2176 3328 3436 3536 4352 6656 6872 7072 8704 11167 13744 14144 14603 22334 27488 28288 29206 44668 54976 56576 58412 89336 109952 113152 116824 178672 189839 219904 233648 357344 379678 439808 467296 714688 759356 934592 1429376 1518712 1869184 2858752 3037424 3738368 5717504 6074848 7476736 12149696 24299392 48598784 97197568