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90057653 = 71753109131
BaseRepresentation
bin1010101111000…
…10101110110101
320021110101212122
411113202232311
5141023321103
612534125325
72142322520
oct527425665
9207411778
1090057653
1146920714
12261b0845
131587226a
14bd63bb7
157d8db38
hex55e2bb5

90057653 has 32 divisors (see below), whose sum is σ = 112907520. Its totient is φ = 70087680.

The previous prime is 90057647. The next prime is 90057661. The reversal of 90057653 is 35675009.

It is a cyclic number.

It is not a de Polignac number, because 90057653 - 24 = 90057637 is a prime.

It is a super-2 number, since 2×900576532 = 16220761727736818, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90057353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687398 + ... + 687528.

It is an arithmetic number, because the mean of its divisors is an integer number (3528360).

Almost surely, 290057653 is an apocalyptic number.

It is an amenable number.

90057653 is a deficient number, since it is larger than the sum of its proper divisors (22849867).

90057653 is a wasteful number, since it uses less digits than its factorization.

90057653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317.

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 90057653 is about 9489.8710739398. The cubic root of 90057653 is about 448.2361454996.

The spelling of 90057653 in words is "ninety million, fifty-seven thousand, six hundred fifty-three".

Divisors: 1 7 17 53 109 119 131 371 763 901 917 1853 2227 5777 6307 6943 12971 14279 15589 40439 48601 98209 99953 118031 242743 687463 756787 826217 1699201 5297509 12865379 90057653