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90058038 = 237312632
BaseRepresentation
bin1010101111000…
…10110100110110
320021110102101220
411113202310312
5141023324123
612534131210
72142323610
oct527426466
9207412356
1090058038
1146920a34
12261b0b06
13158724a5
14bd63db0
157d8dce3
hex55e2d36

90058038 has 48 divisors (see below), whose sum is σ = 213298176. Its totient is φ = 24806160.

The previous prime is 90058009. The next prime is 90058049. The reversal of 90058038 is 83085009.

It is a super-2 number, since 2×900580382 = 16220900416818888, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 342295 + ... + 342557.

It is an arithmetic number, because the mean of its divisors is an integer number (4443712).

Almost surely, 290058038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90058038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106649088).

90058038 is an abundant number, since it is smaller than the sum of its proper divisors (123240138).

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

90058038 is a wasteful number, since it uses less digits than its factorization.

90058038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 90058038 is about 9489.8913587037. The cubic root of 90058038 is about 448.2367842411.

The spelling of 90058038 in words is "ninety million, fifty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 263 434 526 651 789 1302 1578 1841 3682 5523 8153 11046 16306 24459 48918 57071 69169 114142 138338 171213 207507 342426 415014 484183 968366 1452549 2144239 2905098 4288478 6432717 12865434 15009673 30019346 45029019 90058038