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90261936 = 24322327253
BaseRepresentation
bin1010110000101…
…00100110110000
320021211210002200
411120110212300
5141101340221
612542343200
72144133222
oct530244660
9207753080
1090261936
1146a50146
122628ab00
131591423b
14bdb8412
157dce426
hex56149b0

90261936 has 60 divisors (see below), whose sum is σ = 263600688. Its totient is φ = 28778112.

The previous prime is 90261929. The next prime is 90261973. The reversal of 90261936 is 63916209.

90261936 is a `hidden beast` number, since 9 + 0 + 2 + 619 + 36 = 666.

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 90261936.

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 11 ways as a sum of consecutive naturals, for example, 10315 + ... + 16938.

Almost surely, 290261936 is an apocalyptic number.

It is an amenable number.

90261936 is an abundant number, since it is smaller than the sum of its proper divisors (173338752).

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

90261936 is a wasteful number, since it uses less digits than its factorization.

90261936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27290 (or 27281 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 90261936 is about 9500.6281897567. The cubic root of 90261936 is about 448.5748095775.

The spelling of 90261936 in words is "ninety million, two hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 27253 54506 81759 109012 163518 218024 245277 327036 436048 490554 626819 654072 981108 1253638 1308144 1880457 1962216 2507276 3760914 3924432 5014552 5641371 7521828 10029104 11282742 15043656 22565484 30087312 45130968 90261936