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97572992 = 2711232131
BaseRepresentation
bin1011101000011…
…01100010000000
320210121012222112
411310031202000
5144434313432
613403154452
72263233236
oct564154200
9223535875
1097572992
1150094040
1228815a28
13172a3bca
14cd5c956
1588757b2
hex5d0d880

97572992 has 96 divisors (see below), whose sum is σ = 223367760. Its totient is φ = 42099200.

The previous prime is 97572953. The next prime is 97573001. The reversal of 97572992 is 29927579.

It is a self number, because there is not a number n which added to its sum of digits gives 97572992.

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, 744767 + ... + 744897.

Almost surely, 297572992 is an apocalyptic number.

97572992 is a gapful number since it is divisible by the number (92) 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 97572992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111683880).

97572992 is an abundant number, since it is smaller than the sum of its proper divisors (125794768).

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

97572992 is a wasteful number, since it uses less digits than its factorization.

97572992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its digits is 714420, while the sum is 50.

The square root of 97572992 is about 9877.9042311616. The cubic root of 97572992 is about 460.3730307473.

The spelling of 97572992 in words is "ninety-seven million, five hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 131 176 184 253 262 352 368 506 524 529 704 736 1012 1048 1058 1408 1441 1472 2024 2096 2116 2882 2944 3013 4048 4192 4232 5764 5819 6026 8096 8384 8464 11528 11638 12052 16192 16768 16928 23056 23276 24104 32384 33143 33856 46112 46552 48208 66286 67712 69299 92224 93104 96416 132572 138598 184448 186208 192832 265144 277196 372416 385664 530288 554392 744832 762289 1060576 1108784 1524578 2121152 2217568 3049156 4242304 4435136 6098312 8870272 12196624 24393248 48786496 97572992