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95693728 = 25131912107
BaseRepresentation
bin1011011010000…
…10101110100000
320200001202010011
411231002232200
5143444144403
613255014304
72241245314
oct555025640
9220052104
1095693728
114a020129
122806a394
1316a96710
14c9cdb44
158603a6d
hex5b42ba0

95693728 has 48 divisors (see below), whose sum is σ = 213585120. Its totient is φ = 41838336.

The previous prime is 95693723. The next prime is 95693737. The reversal of 95693728 is 82739659.

It is not an unprimeable number, because it can be changed into a prime (95693723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1851 + ... + 13957.

It is an arithmetic number, because the mean of its divisors is an integer number (4449690).

Almost surely, 295693728 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 95693728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106792560).

95693728 is an abundant number, since it is smaller than the sum of its proper divisors (117891392).

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

95693728 is a wasteful number, since it uses less digits than its factorization.

95693728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12149 (or 12141 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 95693728 is about 9782.3171079249. The cubic root of 95693728 is about 457.3982422715.

The spelling of 95693728 in words is "ninety-five million, six hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 12107 24214 48428 96856 157391 193712 230033 314782 387424 460066 629564 920132 1259128 1840264 2518256 2990429 3680528 5036512 5980858 7361056 11961716 23923432 47846864 95693728