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90438315 = 35113117681
BaseRepresentation
bin1010110001111…
…11101010101011
320022011202001020
411120333222223
5141123011230
612550223523
72145466362
oct530775253
9208152036
1090438315
1147060710
1226354ba3
13159765c6
14c0227d9
157e16810
hex563faab

90438315 has 32 divisors (see below), whose sum is σ = 162957312. Its totient is φ = 42432000.

The previous prime is 90438133. The next prime is 90438343. The reversal of 90438315 is 51383409.

It is not a de Polignac number, because 90438315 - 29 = 90437803 is a prime.

It is a super-3 number, since 3×904383153 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3726 + ... + 13955.

It is an arithmetic number, because the mean of its divisors is an integer number (5092416).

Almost surely, 290438315 is an apocalyptic number.

90438315 is a deficient number, since it is larger than the sum of its proper divisors (72518997).

90438315 is a wasteful number, since it uses less digits than its factorization.

90438315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17731.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 90438315 is about 9509.9061509565. The cubic root of 90438315 is about 448.8668030824.

The spelling of 90438315 in words is "ninety million, four hundred thirty-eight thousand, three hundred fifteen".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 5115 17681 53043 88405 194491 265215 548111 583473 972455 1644333 2740555 2917365 6029221 8221665 18087663 30146105 90438315