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90490032 = 24321036101
BaseRepresentation
bin1010110010011…
…00010010110000
320022021100222200
411121030102300
5141131140112
612551303200
72146103223
oct531142260
9208240880
1090490032
1147096556
122637ab00
1315993cc9
14c0375ba
157e26cdc
hex564c4b0

90490032 has 60 divisors (see below), whose sum is σ = 255747024. Its totient is φ = 29865600.

The previous prime is 90490019. The next prime is 90490051. The reversal of 90490032 is 23009409.

It is a super-2 number, since 2×904900322 = 16376891782722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90489978 and 90490005.

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 11 ways as a sum of consecutive naturals, for example, 11782 + ... + 17882.

Almost surely, 290490032 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 90490032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127873512).

90490032 is an abundant number, since it is smaller than the sum of its proper divisors (165256992).

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

90490032 is a wasteful number, since it uses less digits than its factorization.

90490032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6218 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90490032 is about 9512.6248743446. The cubic root of 90490032 is about 448.9523480232.

The spelling of 90490032 in words is "ninety million, four hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1236 1648 1854 2472 3708 4944 6101 7416 12202 14832 18303 24404 36606 48808 54909 73212 97616 109818 146424 219636 292848 439272 628403 878544 1256806 1885209 2513612 3770418 5027224 5655627 7540836 10054448 11311254 15081672 22622508 30163344 45245016 90490032