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95135904 = 2533149739
BaseRepresentation
bin1011010101110…
…10100010100000
320122000101221000
411222322202200
5143323322104
613235032000
72233433103
oct552724240
9218011830
1095135904
114977a016
1227a3b600
131692c846
14c8c673a
158543639
hex5aba8a0

95135904 has 96 divisors (see below), whose sum is σ = 279720000. Its totient is φ = 31456512.

The previous prime is 95135903. The next prime is 95135959. The reversal of 95135904 is 40953159.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (95135903) 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, 128367 + ... + 129105.

It is an arithmetic number, because the mean of its divisors is an integer number (2913750).

Almost surely, 295135904 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 95135904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139860000).

95135904 is an abundant number, since it is smaller than the sum of its proper divisors (184584096).

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

95135904 is a wasteful number, since it uses less digits than its factorization.

95135904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 95135904 is about 9753.7635813054. The cubic root of 95135904 is about 456.5077446784.

The spelling of 95135904 in words is "ninety-five million, one hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 149 216 288 298 432 447 596 739 864 894 1192 1341 1478 1788 2217 2384 2682 2956 3576 4023 4434 4768 5364 5912 6651 7152 8046 8868 10728 11824 13302 14304 16092 17736 19953 21456 23648 26604 32184 35472 39906 42912 53208 64368 70944 79812 106416 110111 128736 159624 212832 220222 319248 330333 440444 638496 660666 880888 990999 1321332 1761776 1981998 2642664 2972997 3523552 3963996 5285328 5945994 7927992 10570656 11891988 15855984 23783976 31711968 47567952 95135904