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95242364 = 227171910531
BaseRepresentation
bin1011010110101…
…00100001111100
320122012210221222
411223110201330
5143340223424
613241212512
72234355350
oct553244174
9218183858
1095242364
1149841aa8
1227a91138
1316969139
14c913460
158564e5e
hex5ad487c

95242364 has 48 divisors (see below), whose sum is σ = 212325120. Its totient is φ = 36391680.

The previous prime is 95242363. The next prime is 95242369. The reversal of 95242364 is 46324259.

It is a super-2 number, since 2×952423642 = 18142215800616992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95242361) 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, 3779 + ... + 14309.

It is an arithmetic number, because the mean of its divisors is an integer number (4423440).

Almost surely, 295242364 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 95242364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106162560).

95242364 is an abundant number, since it is smaller than the sum of its proper divisors (117082756).

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

95242364 is a wasteful number, since it uses less digits than its factorization.

95242364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10578 (or 10576 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 95242364 is about 9759.2194360000. The cubic root of 95242364 is about 456.6779632656.

The spelling of 95242364 in words is "ninety-five million, two hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 4522 9044 10531 21062 42124 73717 147434 179027 200089 294868 358054 400178 716108 800356 1253189 1400623 2506378 2801246 3401513 5012756 5602492 6803026 13606052 23810591 47621182 95242364