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95385264 = 24313314931
BaseRepresentation
bin1011010111101…
…11011010110000
320122111001222120
411223313122300
5143404312024
613244234240
72235522102
oct553673260
9218431876
1095385264
114992a3a7
1227b3b980
13169b91b0
14c94d572
158592479
hex5af76b0

95385264 has 80 divisors (see below), whose sum is σ = 273982464. Its totient is φ = 28396800.

The previous prime is 95385253. The next prime is 95385289. The reversal of 95385264 is 46258359.

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, 16879 + ... + 21809.

Almost surely, 295385264 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 95385264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136991232).

95385264 is an abundant number, since it is smaller than the sum of its proper divisors (178597200).

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

95385264 is a wasteful number, since it uses less digits than its factorization.

95385264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4980 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 95385264 is about 9766.5379741237. The cubic root of 95385264 is about 456.9062463791.

The spelling of 95385264 in words is "ninety-five million, three hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 4931 6448 9672 9862 14793 19344 19724 29586 39448 59172 64103 78896 118344 128206 152861 192309 236688 256412 305722 384618 458583 512824 611444 769236 917166 1025648 1222888 1538472 1834332 1987193 2445776 3076944 3668664 3974386 5961579 7337328 7948772 11923158 15897544 23846316 31795088 47692632 95385264