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97376768 = 29434423
BaseRepresentation
bin1011100110111…
…01101000000000
320210020020210222
411303131220000
5144412024033
613355042212
72261455166
oct563355000
9223206728
1097376768
114aa6a675
1228740368
13172357b8
14cd0b236
158837598
hex5cdda00

97376768 has 40 divisors (see below), whose sum is σ = 199133088. Its totient is φ = 47545344.

The previous prime is 97376759. The next prime is 97376777. The reversal of 97376768 is 86767379.

It is an interprime number because it is at equal distance from previous prime (97376759) and next prime (97376777).

It is a super-2 number, since 2×973767682 = 18964469892251648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19805 + ... + 24227.

Almost surely, 297376768 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 97376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99566544).

97376768 is an abundant number, since it is smaller than the sum of its proper divisors (101756320).

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

97376768 is an equidigital number, since it uses as much as digits as its factorization.

97376768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4468 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 53.

The square root of 97376768 is about 9867.9667611925. The cubic root of 97376768 is about 460.0642128381.

The spelling of 97376768 in words is "ninety-seven million, three hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 2752 4423 5504 8846 11008 17692 22016 35384 70768 141536 190189 283072 380378 566144 760756 1132288 1521512 2264576 3043024 6086048 12172096 24344192 48688384 97376768