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90235656 = 23327225577
BaseRepresentation
bin1010110000011…
…10001100001000
320021210110001100
411120032030020
5141100020111
612542021400
72143663500
oct530161410
9207713040
1090235656
1146a32425
1226277860
13159052a4
14bdaca00
157dc6756
hex560e308

90235656 has 72 divisors (see below), whose sum is σ = 284299470. Its totient is φ = 25780608.

The previous prime is 90235591. The next prime is 90235657. The reversal of 90235656 is 65653209.

90235656 is a `hidden beast` number, since 90 + 2 + 3 + 565 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89302500 + 933156 = 9450^2 + 966^2 .

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

It is a super-2 number, since 2×902356562 = 16284947227500672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90235656.

It is not an unprimeable number, because it can be changed into a prime (90235657) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9261 + ... + 16316.

Almost surely, 290235656 is an apocalyptic number.

It is an amenable number.

90235656 is an abundant number, since it is smaller than the sum of its proper divisors (194063814).

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

90235656 is a wasteful number, since it uses less digits than its factorization.

90235656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25603 (or 25589 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 90235656 is about 9499.2450226321. The cubic root of 90235656 is about 448.5312707734.

The spelling of 90235656 in words is "ninety million, two hundred thirty-five thousand, six hundred fifty-six".

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 25577 51154 76731 102308 153462 179039 204616 230193 306924 358078 460386 537117 613848 716156 920772 1074234 1253273 1432312 1611351 1841544 2148468 2506546 3222702 3759819 4296936 5013092 6445404 7519638 10026184 11279457 12890808 15039276 22558914 30078552 45117828 90235656