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95108864 = 282329557
BaseRepresentation
bin1011010101100…
…11111100000000
320121222000211112
411222303330000
5143321440424
613234302452
72233261214
oct552637400
9217860745
1095108864
1149760774
1227a27a28
1316920446
14c8ba944
15853a60e
hex5ab3f00

95108864 has 72 divisors (see below), whose sum is σ = 205299360. Its totient is φ = 43839488.

The previous prime is 95108843. The next prime is 95108879. The reversal of 95108864 is 46880159.

It is a super-2 number, since 2×951088642 = 18091392022740992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170474 + ... + 171030.

It is an arithmetic number, because the mean of its divisors is an integer number (2851380).

Almost surely, 295108864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102649680).

95108864 is an abundant number, since it is smaller than the sum of its proper divisors (110190496).

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

95108864 is a wasteful number, since it uses less digits than its factorization.

95108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 95108864 is about 9752.3773511898. The cubic root of 95108864 is about 456.4644902792.

The spelling of 95108864 in words is "ninety-five million, one hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 368 464 557 667 736 928 1114 1334 1472 1856 2228 2668 2944 3712 4456 5336 5888 7424 8912 10672 12811 16153 17824 21344 25622 32306 35648 42688 51244 64612 71296 85376 102488 129224 142592 170752 204976 258448 371519 409952 516896 743038 819904 1033792 1486076 1639808 2067584 2972152 3279616 4135168 5944304 11888608 23777216 47554432 95108864