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90437312 = 267296961
BaseRepresentation
bin1010110001111…
…11011011000000
320022011200200002
411120333123000
5141122443222
612550215132
72145463430
oct530773300
9208150602
1090437312
114705a989
12263544a8
1315976004
14c0222c0
157e16392
hex563f6c0

90437312 has 56 divisors (see below), whose sum is σ = 212201760. Its totient is φ = 37416960.

The previous prime is 90437309. The next prime is 90437339. The reversal of 90437312 is 21373409.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9512 + ... + 16472.

Almost surely, 290437312 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 90437312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106100880).

90437312 is an abundant number, since it is smaller than the sum of its proper divisors (121764448).

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

90437312 is a wasteful number, since it uses less digits than its factorization.

90437312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 90437312 is about 9509.8534163256. The cubic root of 90437312 is about 448.8651437007.

The spelling of 90437312 in words is "ninety million, four hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 6961 12992 13922 27844 48727 55688 97454 111376 194908 201869 222752 389816 403738 445504 779632 807476 1413083 1559264 1614952 2826166 3118528 3229904 5652332 6459808 11304664 12919616 22609328 45218656 90437312