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95923872 = 25331110093
BaseRepresentation
bin1011011011110…
…10111010100000
320200111102211000
411231322322200
5144024030442
613303552000
72243224302
oct555727240
9220442730
1095923872
114a168030
122815b600
1316b473b5
14ca4d972
15864bd4c
hex5b7aea0

95923872 has 96 divisors (see below), whose sum is σ = 305242560. Its totient is φ = 29064960.

The previous prime is 95923871. The next prime is 95923897. The reversal of 95923872 is 27832959.

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

It is not an unprimeable number, because it can be changed into a prime (95923871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4458 + ... + 14550.

It is an arithmetic number, because the mean of its divisors is an integer number (3179610).

Almost surely, 295923872 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 95923872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152621280).

95923872 is an abundant number, since it is smaller than the sum of its proper divisors (209318688).

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

95923872 is a wasteful number, since it uses less digits than its factorization.

95923872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10123 (or 10109 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 95923872 is about 9794.0733099155. The cubic root of 95923872 is about 457.7646305612.

The spelling of 95923872 in words is "ninety-five million, nine hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 10093 20186 30279 40372 60558 80744 90837 111023 121116 161488 181674 222046 242232 272511 322976 333069 363348 444092 484464 545022 666138 726696 888184 968928 999207 1090044 1332276 1453392 1776368 1998414 2180088 2664552 2906784 2997621 3552736 3996828 4360176 5329104 5995242 7993656 8720352 10658208 11990484 15987312 23980968 31974624 47961936 95923872