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90059712 = 2633115131
BaseRepresentation
bin1010101111000…
…11001111000000
320021110111200220
411113203033000
5141023402322
612534143040
72142331521
oct527431700
9207414626
1090059712
1146922216
12261b1a80
1315873192
14bd64848
157d8e55c
hex55e33c0

90059712 has 56 divisors (see below), whose sum is σ = 245985792. Its totient is φ = 29049600.

The previous prime is 90059707. The next prime is 90059719. The reversal of 90059712 is 21795009.

It is a super-2 number, since 2×900597122 = 16221503451045888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90059719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1614 + ... + 13517.

Almost surely, 290059712 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 90059712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122992896).

90059712 is an abundant number, since it is smaller than the sum of its proper divisors (155926080).

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

90059712 is a wasteful number, since it uses less digits than its factorization.

90059712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15177 (or 15167 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 90059712 is about 9489.9795574069. The cubic root of 90059712 is about 448.2395615010.

The spelling of 90059712 in words is "ninety million, fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 15131 30262 45393 60524 90786 121048 181572 242096 363144 469061 484192 726288 938122 968384 1407183 1452576 1876244 2814366 2905152 3752488 5628732 7504976 11257464 15009952 22514928 30019904 45029856 90059712