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90382527 = 333790473
BaseRepresentation
bin1010110001100…
…10000010111111
320022001220112000
411120302002333
5141114220102
612545113343
72145144624
oct530620277
9208056460
1090382527
1147022804
1226328853
13159570b1
14c00a34b
157e0501c
hex56320bf

90382527 has 16 divisors (see below), whose sum is σ = 137520480. Its totient is φ = 58625856.

The previous prime is 90382519. The next prime is 90382549. The reversal of 90382527 is 72528309.

It is a happy number.

It is not a de Polignac number, because 90382527 - 23 = 90382519 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 90382491 and 90382500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90382027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44238 + ... + 46235.

It is an arithmetic number, because the mean of its divisors is an integer number (8595030).

Almost surely, 290382527 is an apocalyptic number.

90382527 is a deficient number, since it is larger than the sum of its proper divisors (47137953).

90382527 is a wasteful number, since it uses less digits than its factorization.

90382527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90519 (or 90513 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90382527 is about 9506.9725465050. The cubic root of 90382527 is about 448.7744877402.

It can be divided in two parts, 90382 and 527, that added together give a palindrome (90909).

The spelling of 90382527 in words is "ninety million, three hundred eighty-two thousand, five hundred twenty-seven".

Divisors: 1 3 9 27 37 111 333 999 90473 271419 814257 2442771 3347501 10042503 30127509 90382527