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90028512 = 2532744657
BaseRepresentation
bin1010101110110…
…11100111100000
320021101220220100
411113123213200
5141021403022
612533342400
72142141540
oct527334740
9207356810
1090028512
1146900832
1226197a00
1315861c12
14bd57320
157d851ac
hex55db9e0

90028512 has 72 divisors (see below), whose sum is σ = 292599216. Its totient is φ = 25721856.

The previous prime is 90028507. The next prime is 90028537. The reversal of 90028512 is 21582009.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20313 + ... + 24344.

It is an arithmetic number, because the mean of its divisors is an integer number (4063878).

Almost surely, 290028512 is an apocalyptic number.

It is an amenable number.

90028512 is an abundant number, since it is smaller than the sum of its proper divisors (202570704).

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

90028512 is a wasteful number, since it uses less digits than its factorization.

90028512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44680 (or 44669 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90028512 is about 9488.3355758531. The cubic root of 90028512 is about 448.1877932933.

The spelling of 90028512 in words is "ninety million, twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 44657 89314 133971 178628 267942 312599 357256 401913 535884 625198 714512 803826 937797 1071768 1250396 1429024 1607652 1875594 2143536 2500792 2813391 3215304 3751188 4287072 5001584 5626782 6430608 7502376 10003168 11253564 12861216 15004752 22507128 30009504 45014256 90028512