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90204296 = 23721331571
BaseRepresentation
bin1010110000001…
…10100010001000
320021201212000212
411120012202020
5141043014141
612541220252
72143503200
oct530064210
9207655025
1090204296
1146a10906
1226261688
13158c3c30
14bda1400
157dbc2eb
hex5606888

90204296 has 96 divisors (see below), whose sum is σ = 219098880. Its totient is φ = 34473600.

The previous prime is 90204287. The next prime is 90204307. The reversal of 90204296 is 69240209.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157691 + ... + 158261.

It is an arithmetic number, because the mean of its divisors is an integer number (2282280).

Almost surely, 290204296 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 90204296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109549440).

90204296 is an abundant number, since it is smaller than the sum of its proper divisors (128894584).

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

90204296 is a wasteful number, since it uses less digits than its factorization.

90204296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 90204296 is about 9497.5942216964. The cubic root of 90204296 is about 448.4793047285.

The spelling of 90204296 in words is "ninety million, two hundred four thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 182 196 217 248 364 392 403 434 571 637 728 806 868 1142 1274 1519 1612 1736 2284 2548 2821 3038 3224 3997 4568 5096 5642 6076 7423 7994 11284 12152 14846 15988 17701 19747 22568 27979 29692 31976 35402 39494 51961 55958 59384 70804 78988 103922 111916 123907 141608 157976 207844 223832 230113 247814 363727 415688 460226 495628 727454 867349 920452 991256 1454908 1610791 1734698 1840904 2909816 3221582 3469396 6443164 6938792 11275537 12886328 22551074 45102148 90204296