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90057632 = 257402043
BaseRepresentation
bin1010101111000…
…10101110100000
320021110101211212
411113202232200
5141023321012
612534125252
72142322460
oct527425640
9207411755
1090057632
11469206a5
12261b0828
1315872252
14bd63ba0
157d8db22
hex55e2ba0

90057632 has 24 divisors (see below), whose sum is σ = 202630176. Its totient is φ = 38596032.

The previous prime is 90057629. The next prime is 90057637. The reversal of 90057632 is 23675009.

It is a super-2 number, since 2×900576322 = 16220754162894848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (90057637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200798 + ... + 201245.

It is an arithmetic number, because the mean of its divisors is an integer number (8442924).

Almost surely, 290057632 is an apocalyptic number.

It is an amenable number.

90057632 is an abundant number, since it is smaller than the sum of its proper divisors (112572544).

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

90057632 is a wasteful number, since it uses less digits than its factorization.

90057632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402060 (or 402052 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 90057632 is about 9489.8699674969. The cubic root of 90057632 is about 448.2361106591.

The spelling of 90057632 in words is "ninety million, fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 402043 804086 1608172 2814301 3216344 5628602 6432688 11257204 12865376 22514408 45028816 90057632