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95727072 = 2537167853
BaseRepresentation
bin1011011010010…
…10110111100000
320200010102212010
411231022313200
5144001231242
613255432520
72241444450
oct555126740
9220112763
1095727072
114a043191
1228085740
1316aa894c
14c9dbd60
15860d89c
hex5b4ade0

95727072 has 96 divisors (see below), whose sum is σ = 289239552. Its totient is φ = 27154944.

The previous prime is 95727059. The next prime is 95727091. The reversal of 95727072 is 27072759.

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

It is a self number, because there is not a number n which added to its sum of digits gives 95727072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111798 + ... + 112650.

It is an arithmetic number, because the mean of its divisors is an integer number (3012912).

Almost surely, 295727072 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 95727072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144619776).

95727072 is an abundant number, since it is smaller than the sum of its proper divisors (193512480).

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

95727072 is a wasteful number, since it uses less digits than its factorization.

95727072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 95727072 is about 9784.0212591756. The cubic root of 95727072 is about 457.4513621440.

The spelling of 95727072 in words is "ninety-five million, seven hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 167 168 224 334 336 501 668 672 853 1002 1169 1336 1706 2004 2338 2559 2672 3412 3507 4008 4676 5118 5344 5971 6824 7014 8016 9352 10236 11942 13648 14028 16032 17913 18704 20472 23884 27296 28056 35826 37408 40944 47768 56112 71652 81888 95536 112224 142451 143304 191072 284902 286608 427353 569804 573216 854706 997157 1139608 1709412 1994314 2279216 2991471 3418824 3988628 4558432 5982942 6837648 7977256 11965884 13675296 15954512 23931768 31909024 47863536 95727072