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97625472 = 273736319
BaseRepresentation
bin1011101000110…
…10010110000000
320210200212222020
411310122112000
5144443003342
613404241440
72263542240
oct564322600
9223625866
1097625472
115011a50a
1228840280
13172c1a69
14cd73b20
1588860ec
hex5d1a580

97625472 has 64 divisors (see below), whose sum is σ = 296371200. Its totient is φ = 27892224.

The previous prime is 97625467. The next prime is 97625483. The reversal of 97625472 is 27452679.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 15472 + ... + 20847.

It is an arithmetic number, because the mean of its divisors is an integer number (4630800).

Almost surely, 297625472 is an apocalyptic number.

It is an amenable number.

97625472 is an abundant number, since it is smaller than the sum of its proper divisors (198745728).

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

97625472 is a wasteful number, since it uses less digits than its factorization.

97625472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36343 (or 36331 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 97625472 is about 9880.5603079987. The cubic root of 97625472 is about 460.4555537416.

The spelling of 97625472 in words is "ninety-seven million, six hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 36319 72638 108957 145276 217914 254233 290552 435828 508466 581104 762699 871656 1016932 1162208 1525398 1743312 2033864 2324416 3050796 3486624 4067728 4648832 6101592 6973248 8135456 12203184 13946496 16270912 24406368 32541824 48812736 97625472