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95242168 = 2373183661
BaseRepresentation
bin1011010110101…
…00011110111000
320122012210200201
411223110132320
5143340222133
613241211544
72234354650
oct553243670
9218183621
1095242168
114984193a
1227a90bb4
1316969018
14c913360
158564d7d
hex5ad47b8

95242168 has 64 divisors (see below), whose sum is σ = 213534720. Its totient is φ = 38966400.

The previous prime is 95242157. The next prime is 95242171. The reversal of 95242168 is 86124259.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 143758 + ... + 144418.

It is an arithmetic number, because the mean of its divisors is an integer number (3336480).

Almost surely, 295242168 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 95242168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106767360).

95242168 is an abundant number, since it is smaller than the sum of its proper divisors (118292552).

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

95242168 is a wasteful number, since it uses less digits than its factorization.

95242168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 95242168 is about 9759.2093942081. The cubic root of 95242168 is about 456.6776499984.

The spelling of 95242168 in words is "ninety-five million, two hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 83 124 166 217 248 332 434 581 661 664 868 1162 1322 1736 2324 2573 2644 4627 4648 5146 5288 9254 10292 18011 18508 20491 20584 36022 37016 40982 54863 72044 81964 109726 143437 144088 163928 219452 286874 384041 438904 573748 768082 1147496 1536164 1700753 3072328 3401506 6803012 11905271 13606024 23810542 47621084 95242168