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90653568 = 273236077
BaseRepresentation
bin1010110011101…
…00001110000000
320022120200022120
411121310032000
5141201403233
612555004240
72150354055
oct531641600
9208520276
1090653568
1147198405
1226439680
1315a20585
14c07b02c
157e5a4b3
hex5674380

90653568 has 32 divisors (see below), whose sum is σ = 240799560. Its totient is φ = 30217728.

The previous prime is 90653561. The next prime is 90653587. The reversal of 90653568 is 86535609.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×906535682 = 16436138782261248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90653561) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 117655 + ... + 118422.

Almost surely, 290653568 is an apocalyptic number.

It is an amenable number.

90653568 is an abundant number, since it is smaller than the sum of its proper divisors (150145992).

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

90653568 is a wasteful number, since it uses less digits than its factorization.

90653568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236094 (or 236082 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 90653568 is about 9521.2167289690. The cubic root of 90653568 is about 449.2226381503. Note that the first 3 decimals are identical.

The spelling of 90653568 in words is "ninety million, six hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 236077 472154 708231 944308 1416462 1888616 2832924 3777232 5665848 7554464 11331696 15108928 22663392 30217856 45326784 90653568