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90957147 = 3413891901
BaseRepresentation
bin1010110101111…
…10010101011011
320100011002202020
411122332111123
5141241112042
613005305523
72153060121
oct532762533
9210132666
1090957147
11473854a6
12265652a3
1315ac87c8
14c119911
157eba3ec
hex56be55b

90957147 has 16 divisors (see below), whose sum is σ = 124619040. Its totient is φ = 58976000.

The previous prime is 90957059. The next prime is 90957187. The reversal of 90957147 is 74175909.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 90957147 - 210 = 90956123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90957099 and 90957108.

It is not an unprimeable number, because it can be changed into a prime (90957187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46897 + ... + 48797.

It is an arithmetic number, because the mean of its divisors is an integer number (7788690).

Almost surely, 290957147 is an apocalyptic number.

90957147 is a deficient number, since it is larger than the sum of its proper divisors (33661893).

90957147 is a wasteful number, since it uses less digits than its factorization.

90957147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334.

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 90957147 is about 9537.1456421720. The cubic root of 90957147 is about 449.7235289419.

The spelling of 90957147 in words is "ninety million, nine hundred fifty-seven thousand, one hundred forty-seven".

Divisors: 1 3 41 123 389 1167 1901 5703 15949 47847 77941 233823 739489 2218467 30319049 90957147