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90418816 = 273122787
BaseRepresentation
bin1010110001110…
…10111010000000
320022010202022001
411120322322000
5141121400231
612545553344
72145355465
oct530727200
9208122261
1090418816
1147047aa4
1226345854
131596a777
14c01966c
157e10b61
hex563ae80

90418816 has 32 divisors (see below), whose sum is σ = 185950080. Its totient is φ = 43749120.

The previous prime is 90418813. The next prime is 90418837. The reversal of 90418816 is 61881409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (90418813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7426 + ... + 15361.

It is an arithmetic number, because the mean of its divisors is an integer number (5810940).

Almost surely, 290418816 is an apocalyptic number.

It is an amenable number.

90418816 is an abundant number, since it is smaller than the sum of its proper divisors (95531264).

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

90418816 is a wasteful number, since it uses less digits than its factorization.

90418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22832 (or 22820 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 90418816 is about 9508.8809015572. The cubic root of 90418816 is about 448.8345413768.

The spelling of 90418816 in words is "ninety million, four hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 22787 45574 91148 182296 364592 706397 729184 1412794 1458368 2825588 2916736 5651176 11302352 22604704 45209408 90418816