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95156964 = 22337191659
BaseRepresentation
bin1011010101111…
…11101011100100
320122001110211000
411222333223210
5143330010324
613235313300
72233551360
oct552775344
9218043730
1095156964
1149793921
1227a4b830
13169392c6
14c8d02a0
1585499c9
hex5abfae4

95156964 has 96 divisors (see below), whose sum is σ = 283852800. Its totient is φ = 27004320.

The previous prime is 95156953. The next prime is 95156977. The reversal of 95156964 is 46965159.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 144067 + ... + 144725.

It is an arithmetic number, because the mean of its divisors is an integer number (2956800).

Almost surely, 295156964 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 95156964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141926400).

95156964 is an abundant number, since it is smaller than the sum of its proper divisors (188695836).

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

95156964 is a wasteful number, since it uses less digits than its factorization.

95156964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 95156964 is about 9754.8431048377. The cubic root of 95156964 is about 456.5414275236.

The spelling of 95156964 in words is "ninety-five million, one hundred fifty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 191 252 378 382 573 659 756 764 1146 1318 1337 1719 1977 2292 2636 2674 3438 3954 4011 4613 5157 5348 5931 6876 7908 8022 9226 10314 11862 12033 13839 16044 17793 18452 20628 23724 24066 27678 35586 36099 41517 48132 55356 71172 72198 83034 124551 125869 144396 166068 249102 251738 377607 498204 503476 755214 881083 1132821 1510428 1762166 2265642 2643249 3398463 3524332 4531284 5286498 6796926 7929747 10572996 13593852 15859494 23789241 31718988 47578482 95156964