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90799632 = 243271119431
BaseRepresentation
bin1010110100101…
…11111000010000
320022212002200100
411122113320100
5141221042012
613002052400
72151532650
oct532277020
9208762610
1090799632
1147288120
12264aa100
1315a71bc1
14c0b8360
157e888dc
hex5697e10

90799632 has 240 divisors, whose sum is σ = 334264320. Its totient is φ = 22291200.

The previous prime is 90799559. The next prime is 90799649. The reversal of 90799632 is 23699709.

90799632 is a `hidden beast` number, since 9 + 0 + 7 + 9 + 9 + 632 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210457 + ... + 210887.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 290799632 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 90799632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

90799632 is an abundant number, since it is smaller than the sum of its proper divisors (243464688).

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

90799632 is a wasteful number, since it uses less digits than its factorization.

90799632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 90799632 is about 9528.8840899656. The cubic root of 90799632 is about 449.4637760996.

The spelling of 90799632 in words is "ninety million, seven hundred ninety-nine thousand, six hundred thirty-two".