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96133725 = 32521741613
BaseRepresentation
bin1011011101011…
…10001001011101
320200220002200100
411232232021131
5144102234400
613312251313
72245060152
oct556561135
9220802610
1096133725
114a2a0766
1228240b39
1316bbba7c
14caa6229
15868e100
hex5bae25d

96133725 has 72 divisors (see below), whose sum is σ = 187066152. Its totient is φ = 47001600.

The previous prime is 96133699. The next prime is 96133781. The reversal of 96133725 is 52733169.

96133725 is a `hidden beast` number, since 9 + 613 + 37 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 70913241 + 25220484 = 8421^2 + 5022^2 .

It is not a de Polignac number, because 96133725 - 28 = 96133469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 96133725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156519 + ... + 157131.

It is an arithmetic number, because the mean of its divisors is an integer number (2598141).

Almost surely, 296133725 is an apocalyptic number.

It is an amenable number.

96133725 is a deficient number, since it is larger than the sum of its proper divisors (90932427).

96133725 is a wasteful number, since it uses less digits than its factorization.

96133725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 96133725 is about 9804.7807216684. The cubic root of 96133725 is about 458.0982052018.

The spelling of 96133725 in words is "ninety-six million, one hundred thirty-three thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 41 45 51 75 85 123 153 205 225 255 369 425 613 615 697 765 1025 1275 1839 1845 2091 3065 3075 3485 3825 5517 6273 9195 9225 10421 10455 15325 17425 25133 27585 31263 31365 45975 52105 52275 75399 93789 125665 137925 156315 156825 226197 260525 376995 427261 468945 628325 781575 1130985 1281783 1884975 2136305 2344725 3845349 5654925 6408915 10681525 19226745 32044575 96133725