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95225856 = 2113111409
BaseRepresentation
bin1011010110100…
…00100000000000
320122011222022120
411223100200000
5143334211411
613241004240
72234256255
oct553204000
9218158276
1095225856
1149830660
1227a83680
131696177b
14c90b42c
158560106
hex5ad0800

95225856 has 96 divisors (see below), whose sum is σ = 277149600. Its totient is φ = 28835840.

The previous prime is 95225843. The next prime is 95225863. The reversal of 95225856 is 65852259.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66880 + ... + 68288.

It is an arithmetic number, because the mean of its divisors is an integer number (2886975).

Almost surely, 295225856 is an apocalyptic number.

95225856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138574800).

95225856 is an abundant number, since it is smaller than the sum of its proper divisors (181923744).

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

95225856 is a wasteful number, since it uses less digits than its factorization.

95225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1425 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 95225856 is about 9758.3736349865. The cubic root of 95225856 is about 456.6515769844.

The spelling of 95225856 in words is "ninety-five million, two hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1409 1536 2048 2112 2816 2818 3072 4224 4227 5632 5636 6144 8448 8454 11264 11272 15499 16896 16908 22528 22544 30998 33792 33816 45088 46497 61996 67584 67632 90176 92994 123992 135264 180352 185988 247984 270528 360704 371976 495968 541056 721408 743952 991936 1082112 1442816 1487904 1983872 2164224 2885632 2975808 3967744 4328448 5951616 7935488 8656896 11903232 15870976 23806464 31741952 47612928 95225856