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90346048 = 261328353
BaseRepresentation
bin1010110001010…
…01001001000000
320022000001110221
411120221021000
5141112033143
612544232424
72144633362
oct530511100
9208001427
1090346048
1146aa8361
122630b714
1315943600
14bddad32
157de92ed
hex5629240

90346048 has 42 divisors (see below), whose sum is σ = 194155314. Its totient is φ = 41693184.

The previous prime is 90346027. The next prime is 90346097. The reversal of 90346048 is 84064309.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 89718784 = 792^2 + 9472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6640 + ... + 14992.

Almost surely, 290346048 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 90346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97077657).

90346048 is an abundant number, since it is smaller than the sum of its proper divisors (103809266).

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

90346048 is a wasteful number, since it uses less digits than its factorization.

90346048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8368 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 90346048 is about 9505.0538136299. The cubic root of 90346048 is about 448.7141034748.

The spelling of 90346048 in words is "ninety million, three hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 8353 10816 16706 33412 66824 108589 133648 217178 267296 434356 534592 868712 1411657 1737424 2823314 3474848 5646628 6949696 11293256 22586512 45173024 90346048