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95008257 = 32176131013
BaseRepresentation
bin1011010100110…
…11011000000001
320121202220211100
411222123120001
5143310231012
613232205013
72232362001
oct552333001
9217686740
1095008257
11496a2123
1227999769
13168b6706
14c892001
15851a8dc
hex5a9b601

95008257 has 24 divisors (see below), whose sum is σ = 145687464. Its totient is φ = 59457024.

The previous prime is 95008217. The next prime is 95008261. The reversal of 95008257 is 75280059.

It can be written as a sum of positive squares in 4 ways, for example, as 3538161 + 91470096 = 1881^2 + 9564^2 .

It is not a de Polignac number, because 95008257 - 211 = 95006209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (95008217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93283 + ... + 94295.

It is an arithmetic number, because the mean of its divisors is an integer number (6070311).

Almost surely, 295008257 is an apocalyptic number.

It is an amenable number.

95008257 is a deficient number, since it is larger than the sum of its proper divisors (50679207).

95008257 is a wasteful number, since it uses less digits than its factorization.

95008257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 95008257 is about 9747.2179107682. The cubic root of 95008257 is about 456.3034827652.

The spelling of 95008257 in words is "ninety-five million, eight thousand, two hundred fifty-seven".

Divisors: 1 3 9 17 51 153 613 1013 1839 3039 5517 9117 10421 17221 31263 51663 93789 154989 620969 1862907 5588721 10556473 31669419 95008257