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97376256 = 21134587
BaseRepresentation
bin1011100110111…
…01100000000000
320210020020010000
411303131200000
5144412020011
613355040000
72261453535
oct563354000
9223206100
1097376256
114aa6a24a
1228740000
13172354b3
14cd0ad8c
158837356
hex5cdd800

97376256 has 120 divisors (see below), whose sum is σ = 291351060. Its totient is φ = 32403456.

The previous prime is 97376249. The next prime is 97376299. The reversal of 97376256 is 65267379.

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 9 ways as a sum of consecutive naturals, for example, 165595 + ... + 166181.

Almost surely, 297376256 is an apocalyptic number.

97376256 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 97376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145675530).

97376256 is an abundant number, since it is smaller than the sum of its proper divisors (193974804).

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

97376256 is an equidigital number, since it uses as much as digits as its factorization.

97376256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 592 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 97376256 is about 9867.9408186308. The cubic root of 97376256 is about 460.0634065085.

The spelling of 97376256 in words is "ninety-seven million, three hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 587 648 768 864 1024 1152 1174 1296 1536 1728 1761 2048 2304 2348 2592 3072 3456 3522 4608 4696 5184 5283 6144 6912 7044 9216 9392 10368 10566 13824 14088 15849 18432 18784 20736 21132 27648 28176 31698 37568 41472 42264 47547 55296 56352 63396 75136 82944 84528 95094 112704 126792 150272 165888 169056 190188 225408 253584 300544 338112 380376 450816 507168 601088 676224 760752 901632 1014336 1202176 1352448 1521504 1803264 2028672 2704896 3043008 3606528 4057344 5409792 6086016 8114688 10819584 12172032 16229376 24344064 32458752 48688128 97376256