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90195984 = 2433208787
BaseRepresentation
bin1010110000001…
…00100000010000
320021201102122000
411120010200100
5141042232414
612541114000
72143440024
oct530044020
9207642560
1090195984
1146a0563a
1226258900
13158c0208
14bd9c384
157db9b09
hex5604810

90195984 has 40 divisors (see below), whose sum is σ = 258897120. Its totient is φ = 30065184.

The previous prime is 90195979. The next prime is 90195997. The reversal of 90195984 is 48959109.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103962 + ... + 104825.

It is an arithmetic number, because the mean of its divisors is an integer number (6472428).

Almost surely, 290195984 is an apocalyptic number.

It is an amenable number.

90195984 is an abundant number, since it is smaller than the sum of its proper divisors (168701136).

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

90195984 is a wasteful number, since it uses less digits than its factorization.

90195984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208804 (or 208792 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 90195984 is about 9497.1566271174. The cubic root of 90195984 is about 448.4655290562.

The spelling of 90195984 in words is "ninety million, one hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 208787 417574 626361 835148 1252722 1670296 1879083 2505444 3340592 3758166 5010888 5637249 7516332 10021776 11274498 15032664 22548996 30065328 45097992 90195984