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97538616 = 23327227647
BaseRepresentation
bin1011101000001…
…01001000111000
320210112110211100
411310011020320
5144432213431
613402331400
72263031100
oct564051070
9223473740
1097538616
115007022a
12287b9b60
1317291376
14cd50200
15886a4e6
hex5d05238

97538616 has 72 divisors (see below), whose sum is σ = 307307520. Its totient is φ = 27867168.

The previous prime is 97538587. The next prime is 97538621. The reversal of 97538616 is 61683579.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×975386162 = 19027563222390912, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 10296 + ... + 17351.

It is an arithmetic number, because the mean of its divisors is an integer number (4268160).

Almost surely, 297538616 is an apocalyptic number.

It is an amenable number.

97538616 is an abundant number, since it is smaller than the sum of its proper divisors (209768904).

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

97538616 is a wasteful number, since it uses less digits than its factorization.

97538616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27673 (or 27659 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 97538616 is about 9876.1640326596. The cubic root of 97538616 is about 460.3189596297.

The spelling of 97538616 in words is "ninety-seven million, five hundred thirty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 27647 55294 82941 110588 165882 193529 221176 248823 331764 387058 497646 580587 663528 774116 995292 1161174 1354703 1548232 1741761 1990584 2322348 2709406 3483522 4064109 4644696 5418812 6967044 8128218 10837624 12192327 13934088 16256436 24384654 32512872 48769308 97538616