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95161716 = 22351317443
BaseRepresentation
bin1011010110000…
…00110101110100
320122001201100000
411223000311310
5143330133331
613235351300
72233601256
oct553006564
9218051300
1095161716
1149797451
1227a52530
131693b510
14c8d1cd6
15854b0e6
hex5ac0d74

95161716 has 144 divisors (see below), whose sum is σ = 285090624. Its totient is φ = 27495936.

The previous prime is 95161691. The next prime is 95161721. The reversal of 95161716 is 61716159.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214591 + ... + 215033.

It is an arithmetic number, because the mean of its divisors is an integer number (1979796).

Almost surely, 295161716 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 95161716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142545312).

95161716 is an abundant number, since it is smaller than the sum of its proper divisors (189928908).

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

95161716 is a wasteful number, since it uses less digits than its factorization.

95161716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 95161716 is about 9755.0866731157. The cubic root of 95161716 is about 456.5490270681.

The spelling of 95161716 in words is "ninety-five million, one hundred sixty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 243 306 324 351 442 443 459 468 486 612 663 702 884 886 918 972 1053 1326 1329 1377 1404 1772 1836 1989 2106 2652 2658 2754 3159 3978 3987 4131 4212 5316 5508 5759 5967 6318 7531 7956 7974 8262 11518 11934 11961 12636 15062 15948 16524 17277 17901 22593 23036 23868 23922 30124 34554 35802 35883 45186 47844 51831 53703 67779 69108 71604 71766 90372 97903 103662 107406 107649 135558 143532 155493 195806 203337 207324 214812 215298 271116 293709 310986 391612 406674 430596 466479 587418 610011 621972 813348 881127 932958 1174836 1220022 1399437 1762254 1830033 1865916 2440044 2643381 2798874 3524508 3660066 5286762 5597748 7320132 7930143 10573524 15860286 23790429 31720572 47580858 95161716