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90417664 = 29176597
BaseRepresentation
bin1010110001110…
…10101000000000
320022010200201101
411120322220000
5141121331124
612545544144
72145352231
oct530725000
9208120641
1090417664
1147047147
1226345054
131596a09c
14c019088
157e10644
hex563aa00

90417664 has 20 divisors (see below), whose sum is σ = 180659754. Its totient is φ = 45208576.

The previous prime is 90417619. The next prime is 90417683. The reversal of 90417664 is 46671409.

It can be written as a sum of positive squares in only one way, i.e., 76038400 + 14379264 = 8720^2 + 3792^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 87787 + ... + 88810.

Almost surely, 290417664 is an apocalyptic number.

It is an amenable number.

90417664 is a deficient number, since it is larger than the sum of its proper divisors (90242090).

90417664 is an equidigital number, since it uses as much as digits as its factorization.

90417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176615 (or 176599 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 90417664 is about 9508.8203264127. The cubic root of 90417664 is about 448.8326352116.

The spelling of 90417664 in words is "ninety million, four hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 176597 353194 706388 1412776 2825552 5651104 11302208 22604416 45208832 90417664