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90329512 = 23713127977
BaseRepresentation
bin1010110001001…
…01000110101000
320021222012210111
411120211012220
5141111021022
612544024104
72144534230
oct530450650
9207865714
1090329512
1146a96999
1226302034
1315938c20
14bdd4cc0
157de4477
hex56251a8

90329512 has 64 divisors (see below), whose sum is σ = 210309120. Its totient is φ = 35417088.

The previous prime is 90329501. The next prime is 90329527. The reversal of 90329512 is 21592309.

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 15 ways as a sum of consecutive naturals, for example, 91968 + ... + 92944.

It is an arithmetic number, because the mean of its divisors is an integer number (3286080).

Almost surely, 290329512 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 90329512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105154560).

90329512 is an abundant number, since it is smaller than the sum of its proper divisors (119979608).

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

90329512 is a wasteful number, since it uses less digits than its factorization.

90329512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 90329512 is about 9504.1839207793. The cubic root of 90329512 is about 448.6867258185.

The spelling of 90329512 in words is "ninety million, three hundred twenty-nine thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 127 182 254 364 508 728 889 977 1016 1651 1778 1954 3302 3556 3908 6604 6839 7112 7816 11557 12701 13208 13678 23114 25402 27356 46228 50804 54712 88907 92456 101608 124079 177814 248158 355628 496316 711256 868553 992632 1613027 1737106 3226054 3474212 6452108 6948424 11291189 12904216 22582378 45164756 90329512