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90054656 = 21310993
BaseRepresentation
bin1010101111000…
…10000000000000
320021110020202122
411113202000000
5141023222111
612534103412
72142311006
oct527420000
9207406678
1090054656
114691943a
12261aab68
1315870aa3
14bd62a76
157d8ccdb
hex55e2000

90054656 has 28 divisors (see below), whose sum is σ = 180114702. Its totient is φ = 45023232.

The previous prime is 90054647. The next prime is 90054677. The reversal of 90054656 is 65645009.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 86118400 + 3936256 = 9280^2 + 1984^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2696 + ... + 13688.

Almost surely, 290054656 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 90054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90057351).

90054656 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

90054656 is an equidigital number, since it uses as much as digits as its factorization.

90054656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11019 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 90054656 is about 9489.7131674250. The cubic root of 90054656 is about 448.2311732084.

The spelling of 90054656 in words is "ninety million, fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 10993 21986 43972 87944 175888 351776 703552 1407104 2814208 5628416 11256832 22513664 45027328 90054656