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90307392 = 2637229331
BaseRepresentation
bin1010110000111…
…11101101000000
320021221002110020
411120133231000
5141104314032
612543333440
72144412600
oct530375500
9207832406
1090307392
1146a8130a
12262b1280
131592bb36
14bdcac00
157ddcb2c
hex561fb40

90307392 has 168 divisors, whose sum is σ = 288401760. Its totient is φ = 24837120.

The previous prime is 90307387. The next prime is 90307429. The reversal of 90307392 is 29370309.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 272667 + ... + 272997.

Almost surely, 290307392 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 90307392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144200880).

90307392 is an abundant number, since it is smaller than the sum of its proper divisors (198094368).

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

90307392 is a wasteful number, since it uses less digits than its factorization.

90307392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 90307392 is about 9503.0201515097. The cubic root of 90307392 is about 448.6500978461.

The spelling of 90307392 in words is "ninety million, three hundred seven thousand, three hundred ninety-two".