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90427626 = 232291071619
BaseRepresentation
bin1010110001111…
…01000011101010
320022011012101100
411120331003222
5141122141001
612550102230
72145423252
oct530750352
9208135340
1090427626
1147053683
122634a976
1315971793
14c01c962
157e13586
hex563d0ea

90427626 has 48 divisors (see below), whose sum is σ = 204703200. Its totient is φ = 28813344.

The previous prime is 90427549. The next prime is 90427633. The reversal of 90427626 is 62672409.

It is a happy number.

90427626 is a `hidden beast` number, since 9 + 0 + 4 + 27 + 626 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55045 + ... + 56663.

It is an arithmetic number, because the mean of its divisors is an integer number (4264650).

Almost surely, 290427626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90427626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102351600).

90427626 is an abundant number, since it is smaller than the sum of its proper divisors (114275574).

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

90427626 is a wasteful number, since it uses less digits than its factorization.

90427626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 90427626 is about 9509.3441414222. The cubic root of 90427626 is about 448.8491183718.

It can be divided in two parts, 90 and 427626, that added together give a square (427716 = 6542).

The spelling of 90427626 in words is "ninety million, four hundred twenty-seven thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 107 174 214 261 321 522 642 963 1619 1926 3103 3238 4857 6206 9309 9714 14571 18618 27927 29142 46951 55854 93902 140853 173233 281706 346466 422559 519699 845118 1039398 1559097 3118194 5023757 10047514 15071271 30142542 45213813 90427626