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90112275 = 325211231583
BaseRepresentation
bin1010101111100…
…00000100010011
320021120011210200
411113300010103
5141032043100
612535230243
72142641001
oct527600423
9207504720
1090112275
1146958760
1226218383
1315891096
14bd79a71
157d9ee00
hex55f0113

90112275 has 72 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 41764800.

The previous prime is 90112273. The next prime is 90112283. The reversal of 90112275 is 57221109.

It is not a de Polignac number, because 90112275 - 21 = 90112273 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90112271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56134 + ... + 57716.

It is an arithmetic number, because the mean of its divisors is an integer number (2553408).

Almost surely, 290112275 is an apocalyptic number.

90112275 is an abundant number, since it is smaller than the sum of its proper divisors (93733101).

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

90112275 is a wasteful number, since it uses less digits than its factorization.

90112275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 90112275 is about 9492.7485482341. The cubic root of 90112275 is about 448.3267489655.

The spelling of 90112275 in words is "ninety million, one hundred twelve thousand, two hundred seventy-five".

Divisors: 1 3 5 9 11 15 23 25 33 45 55 69 75 99 115 165 207 225 253 275 345 495 575 759 825 1035 1265 1583 1725 2277 2475 3795 4749 5175 6325 7915 11385 14247 17413 18975 23745 36409 39575 52239 56925 71235 87065 109227 118725 156717 182045 261195 327681 356175 400499 435325 546135 783585 910225 1201497 1305975 1638405 2002495 2730675 3604491 3917925 6007485 8192025 10012475 18022455 30037425 90112275