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95749164 = 223275367107
BaseRepresentation
bin1011011010100…
…00010000101100
320200011120011100
411231100100230
5144002433124
613300123100
72241566040
oct555202054
9220146140
1095749164
114a058845
1228096490
1316ab5a14
14ca06020
1586151c9
hex5b5042c

95749164 has 144 divisors (see below), whose sum is σ = 288707328. Its totient is φ = 26193024.

The previous prime is 95749141. The next prime is 95749183. The reversal of 95749164 is 46194759.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 894799 + ... + 894905.

It is an arithmetic number, because the mean of its divisors is an integer number (2004912).

Almost surely, 295749164 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 95749164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353664).

95749164 is an abundant number, since it is smaller than the sum of its proper divisors (192958164).

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

95749164 is a wasteful number, since it uses less digits than its factorization.

95749164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 95749164 is about 9785.1501776927. The cubic root of 95749164 is about 457.4865498151.

The spelling of 95749164 in words is "ninety-five million, seven hundred forty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 67 84 106 107 126 134 159 201 212 214 252 268 318 321 371 402 428 469 477 603 636 642 742 749 804 938 954 963 1113 1206 1284 1407 1484 1498 1876 1908 1926 2226 2247 2412 2814 2996 3339 3551 3852 4221 4452 4494 5628 5671 6678 6741 7102 7169 8442 8988 10653 11342 13356 13482 14204 14338 16884 17013 21306 21507 22684 24857 26964 28676 31959 34026 39697 42612 43014 49714 50183 51039 63918 64521 68052 74571 79394 86028 99428 100366 102078 119091 127836 129042 149142 150549 158788 200732 204156 223713 238182 258084 298284 301098 357273 379957 447426 451647 476364 602196 714546 759914 894852 903294 1139871 1429092 1519828 1806588 2279742 2659699 3419613 4559484 5319398 6839226 7979097 10638796 13678452 15958194 23937291 31916388 47874582 95749164