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90115264 = 263153857
BaseRepresentation
bin1010101111100…
…00110011000000
320021120022220101
411113300303000
5141032142024
612535252144
72142652501
oct527606300
9207508811
1090115264
114695aa28
122621a054
1315892555
14bd7aba8
157da0c44
hex55f0cc0

90115264 has 56 divisors (see below), whose sum is σ = 188293248. Its totient is φ = 42731520.

The previous prime is 90115261. The next prime is 90115273. The reversal of 90115264 is 46251109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90115261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104724 + ... + 105580.

Almost surely, 290115264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94146624).

90115264 is an abundant number, since it is smaller than the sum of its proper divisors (98177984).

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

90115264 is a wasteful number, since it uses less digits than its factorization.

90115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 90115264 is about 9492.9059828906. The cubic root of 90115264 is about 448.3317058700.

The spelling of 90115264 in words is "ninety million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 212 248 424 496 848 857 992 1643 1696 1714 1984 3286 3392 3428 6572 6856 13144 13712 26288 26567 27424 45421 52576 53134 54848 90842 105152 106268 181684 212536 363368 425072 726736 850144 1408051 1453472 1700288 2816102 2906944 5632204 11264408 22528816 45057632 90115264