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95160208 = 241121319199
BaseRepresentation
bin1011010110000…
…00011110010000
320122001122021011
411223000132100
5143330111313
613235340304
72233564003
oct553003620
9218048234
1095160208
1149796300
1227a51694
131693a920
14c8d153a
15854a93d
hex5ac0790

95160208 has 120 divisors (see below), whose sum is σ = 230888000. Its totient is φ = 37635840.

The previous prime is 95160179. The next prime is 95160209. The reversal of 95160208 is 80206159.

It is a self number, because there is not a number n which added to its sum of digits gives 95160208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95160209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478093 + ... + 478291.

Almost surely, 295160208 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 95160208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115444000).

95160208 is an abundant number, since it is smaller than the sum of its proper divisors (135727792).

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

95160208 is a wasteful number, since it uses less digits than its factorization.

95160208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 95160208 is about 9755.0093798007. The cubic root of 95160208 is about 456.5466154555.

The spelling of 95160208 in words is "ninety-five million, one hundred sixty thousand, two hundred eight".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 121 143 152 176 199 208 209 242 247 286 304 398 418 484 494 572 796 836 968 988 1144 1573 1592 1672 1936 1976 2189 2288 2299 2587 2717 3146 3184 3344 3781 3952 4378 4598 5174 5434 6292 7562 8756 9196 10348 10868 12584 15124 17512 18392 20696 21736 24079 25168 28457 29887 30248 35024 36784 41392 41591 43472 48158 49153 56914 59774 60496 83182 96316 98306 113828 119548 166364 192632 196612 227656 239096 313027 332728 385264 393224 455312 457501 478192 540683 626054 665456 786448 915002 1081366 1252108 1830004 2162732 2504216 3660008 4325464 5008432 5947513 7320016 8650928 11895026 23790052 47580104 95160208