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95218564 = 2272172412
BaseRepresentation
bin1011010110011…
…10101110000100
320122011121022111
411223032232010
5143333443224
613240510404
72234226100
oct553165604
9218147274
1095218564
1149826131
1227a7b404
131695b35c
14c908900
15855cd94
hex5aceb84

95218564 has 81 divisors (see below), whose sum is σ = 211055439. Its totient is φ = 37470720.

The previous prime is 95218561. The next prime is 95218583. The reversal of 95218564 is 46581259.

The square root of 95218564 is 9758.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6708100 + 88510464 = 2590^2 + 9408^2 .

It is not an unprimeable number, because it can be changed into a prime (95218561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2322384 + ... + 2322424.

Almost surely, 295218564 is an apocalyptic number.

95218564 is the 9758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95218564

95218564 is an abundant number, since it is smaller than the sum of its proper divisors (115836875).

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

95218564 is a wasteful number, since it uses less digits than its factorization.

95218564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The cubic root of 95218564 is about 456.6399205273.

The spelling of 95218564 in words is "ninety-five million, two hundred eighteen thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 41 49 68 82 98 119 164 196 238 287 289 476 574 578 697 833 1148 1156 1394 1666 1681 2009 2023 2788 3332 3362 4018 4046 4879 6724 8036 8092 9758 11767 11849 14161 19516 23534 23698 28322 28577 34153 47068 47396 56644 57154 68306 82369 82943 114308 136612 164738 165886 200039 329476 331772 400078 485809 580601 800156 971618 1161202 1400273 1943236 2322404 2800546 3400663 5601092 6801326 13602652 23804641 47609282 95218564