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95904972 = 22342959173
BaseRepresentation
bin1011011011101…
…10010011001100
320200110110220000
411231312103030
5144022424342
613303324300
72243115222
oct555662314
9220413800
1095904972
114a154909
1228150690
1316b3b907
14ca46b12
15864644c
hex5b764cc

95904972 has 120 divisors (see below), whose sum is σ = 265280400. Its totient is φ = 30167424.

The previous prime is 95904961. The next prime is 95904983. The reversal of 95904972 is 27940959.

It is an interprime number because it is at equal distance from previous prime (95904961) and next prime (95904983).

It is a super-3 number, since 3×959049723 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 554278 + ... + 554450.

It is an arithmetic number, because the mean of its divisors is an integer number (2210670).

Almost surely, 295904972 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 95904972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132640200).

95904972 is an abundant number, since it is smaller than the sum of its proper divisors (169375428).

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

95904972 is a wasteful number, since it uses less digits than its factorization.

95904972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 95904972 is about 9793.1083931508. The cubic root of 95904972 is about 457.7345639413.

The spelling of 95904972 in words is "ninety-five million, nine hundred four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 59 81 87 108 116 118 162 173 174 177 236 261 324 346 348 354 519 522 531 692 708 783 1038 1044 1062 1557 1566 1593 1711 2076 2124 2349 3114 3132 3186 3422 4671 4698 4779 5017 5133 6228 6372 6844 9342 9396 9558 10034 10207 10266 14013 15051 15399 18684 19116 20068 20414 20532 28026 30102 30621 30798 40828 45153 46197 56052 60204 61242 61596 90306 91863 92394 122484 135459 138591 180612 183726 184788 270918 275589 277182 296003 367452 406377 541836 551178 554364 592006 812754 826767 888009 1102356 1184012 1625508 1653534 1776018 2664027 3307068 3552036 5328054 7992081 10656108 15984162 23976243 31968324 47952486 95904972