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90130944 = 29358679
BaseRepresentation
bin1010101111101…
…00101000000000
320021121010102010
411113310220000
5141033142234
612535452520
72143046301
oct527645000
9207533363
1090130944
1146970792
1226227140
1315899727
14bd827a8
157da56e9
hex55f4a00

90130944 has 40 divisors (see below), whose sum is σ = 240118560. Its totient is φ = 30043136.

The previous prime is 90130933. The next prime is 90130973. The reversal of 90130944 is 44903109.

It is a super-2 number, since 2×901309442 = 16247174132662272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27804 + ... + 30875.

It is an arithmetic number, because the mean of its divisors is an integer number (6002964).

Almost surely, 290130944 is an apocalyptic number.

It is an amenable number.

90130944 is an abundant number, since it is smaller than the sum of its proper divisors (149987616).

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

90130944 is an equidigital number, since it uses as much as digits as its factorization.

90130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58700 (or 58684 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 90130944 is about 9493.7318268424. The cubic root of 90130944 is about 448.3577075082.

The spelling of 90130944 in words is "ninety million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 58679 117358 176037 234716 352074 469432 704148 938864 1408296 1877728 2816592 3755456 5633184 7510912 11266368 15021824 22532736 30043648 45065472 90130944