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90338912 = 25592811
BaseRepresentation
bin1010110001001…
…11011001100000
320021222200200122
411120213121200
5141111321122
612544135412
72144603516
oct530473140
9207880618
1090338912
1146aa2a64
1226307568
13159402a1
14bdd84b6
157de7142
hex5627660

90338912 has 36 divisors (see below), whose sum is σ = 181143396. Its totient is φ = 44349120.

The previous prime is 90338903. The next prime is 90338947. The reversal of 90338912 is 21983309.

It is a super-2 number, since 2×903389122 = 16322238042687488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110987 + ... + 111797.

It is an arithmetic number, because the mean of its divisors is an integer number (5031761).

Almost surely, 290338912 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 90338912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90571698).

90338912 is an abundant number, since it is smaller than the sum of its proper divisors (90804484).

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

90338912 is an equidigital number, since it uses as much as digits as its factorization.

90338912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 90338912 is about 9504.6784269643. The cubic root of 90338912 is about 448.7022892404.

The spelling of 90338912 in words is "ninety million, three hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 59 118 236 472 811 944 1622 1888 3244 3481 6488 6962 12976 13924 25952 27848 47849 55696 95698 111392 191396 382792 765584 1531168 2823091 5646182 11292364 22584728 45169456 90338912