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90460568 = 23112113827
BaseRepresentation
bin1010110010001…
…01000110011000
320022012212120102
411121011012120
5141124214233
612550514532
72145621302
oct531050630
9208185512
1090460568
1147076400
1226365a48
1315983783
14c02a972
157e1d1e8
hex5645198

90460568 has 48 divisors (see below), whose sum is σ = 188312040. Its totient is φ = 40705280.

The previous prime is 90460567. The next prime is 90460583. The reversal of 90460568 is 86506409.

It is a super-2 number, since 2×904605682 = 16366228725765248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90460561) by changing a digit.

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, 108971 + ... + 109797.

Almost surely, 290460568 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 90460568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94156020).

90460568 is an abundant number, since it is smaller than the sum of its proper divisors (97851472).

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

90460568 is a wasteful number, since it uses less digits than its factorization.

90460568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 90460568 is about 9511.0760695097. The cubic root of 90460568 is about 448.9036157019.

The spelling of 90460568 in words is "ninety million, four hundred sixty thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 113 121 226 242 452 484 827 904 968 1243 1654 2486 3308 4972 6616 9097 9944 13673 18194 27346 36388 54692 72776 93451 100067 109384 186902 200134 373804 400268 747608 800536 1027961 2055922 4111844 8223688 11307571 22615142 45230284 90460568