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90438656 = 2107113137
BaseRepresentation
bin1010110001111…
…11110000000000
320022011202111212
411120333300000
5141123014111
612550225252
72145500360
oct530776000
9208152455
1090438656
11470609a0
1226355228
13159767c9
14c0229a0
157e1698b
hex563fc00

90438656 has 176 divisors, whose sum is σ = 238958592. Its totient is φ = 33177600.

The previous prime is 90438643. The next prime is 90438707. The reversal of 90438656 is 65683409.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2444270 + ... + 2444306.

Almost surely, 290438656 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 90438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119479296).

90438656 is an abundant number, since it is smaller than the sum of its proper divisors (148519936).

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

90438656 is a wasteful number, since it uses less digits than its factorization.

90438656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 90438656 is about 9509.9240796128. The cubic root of 90438656 is about 448.8673672364.

The spelling of 90438656 in words is "ninety million, four hundred thirty-eight thousand, six hundred fifty-six".