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90057016 = 2379971613
BaseRepresentation
bin1010101111000…
…10100100111000
320021110101000001
411113202210320
5141023311031
612534122344
72142320620
oct527424470
9207411001
1090057016
1146920195
12261b03b4
1315871b9a
14bd63880
157d8d861
hex55e2938

90057016 has 32 divisors (see below), whose sum is σ = 193292640. Its totient is φ = 38533248.

The previous prime is 90057013. The next prime is 90057047. The reversal of 90057016 is 61075009.

It is a happy number.

It is a super-2 number, since 2×900570162 = 16220532261648512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90057013) 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 7 ways as a sum of consecutive naturals, for example, 55026 + ... + 56638.

It is an arithmetic number, because the mean of its divisors is an integer number (6040395).

Almost surely, 290057016 is an apocalyptic number.

It is an amenable number.

90057016 is an abundant number, since it is smaller than the sum of its proper divisors (103235624).

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

90057016 is a wasteful number, since it uses less digits than its factorization.

90057016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 90057016 is about 9489.8375117807. The cubic root of 90057016 is about 448.2350886689.

The spelling of 90057016 in words is "ninety million, fifty-seven thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 997 1613 1994 3226 3988 6452 6979 7976 11291 12904 13958 22582 27916 45164 55832 90328 1608161 3216322 6432644 11257127 12865288 22514254 45028508 90057016