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90493712 = 2431374931
BaseRepresentation
bin1010110010011…
…01001100010000
320022021120000222
411121031030100
5141131244322
612551332212
72146120031
oct531151420
9208246028
1090493712
11470992a1
1226381068
131599589a
14c038a88
157e27e42
hex564d310

90493712 has 40 divisors (see below), whose sum is σ = 185916672. Its totient is φ = 42595200.

The previous prime is 90493693. The next prime is 90493721. The reversal of 90493712 is 21739409.

It is a super-2 number, since 2×904937122 = 16378223823077888, 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 7 ways as a sum of consecutive naturals, for example, 15887 + ... + 20817.

Almost surely, 290493712 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 90493712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92958336).

90493712 is an abundant number, since it is smaller than the sum of its proper divisors (95422960).

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

90493712 is a wasteful number, since it uses less digits than its factorization.

90493712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 90493712 is about 9512.8182995367. The cubic root of 90493712 is about 448.9584338583.

The spelling of 90493712 in words is "ninety million, four hundred ninety-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 1147 2294 4588 4931 9176 9862 18352 19724 39448 78896 152861 182447 305722 364894 611444 729788 1222888 1459576 2445776 2919152 5655857 11311714 22623428 45246856 90493712