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96456525 = 35211432719
BaseRepresentation
bin1011011111111…
…00111101001101
320201111111110220
411233330331031
5144143102100
613323221553
72250603234
oct557747515
9221444426
1096456525
114a4a1240
12283778b9
1316ca2989
14cb4bb1b
158704aa0
hex5bfcf4d

96456525 has 48 divisors (see below), whose sum is σ = 178083840. Its totient is φ = 45662400.

The previous prime is 96456511. The next prime is 96456527. The reversal of 96456525 is 52565469.

It is not a de Polignac number, because 96456525 - 27 = 96456397 is a prime.

It is a super-2 number, since 2×964565252 = 18607722430151250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96456527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34116 + ... + 36834.

It is an arithmetic number, because the mean of its divisors is an integer number (3710080).

Almost surely, 296456525 is an apocalyptic number.

It is an amenable number.

96456525 is a deficient number, since it is larger than the sum of its proper divisors (81627315).

96456525 is a wasteful number, since it uses less digits than its factorization.

96456525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2781 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 96456525 is about 9821.2282836721. The cubic root of 96456525 is about 458.6103698871.

The spelling of 96456525 in words is "ninety-six million, four hundred fifty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 43 55 75 129 165 215 275 473 645 825 1075 1419 2365 2719 3225 7095 8157 11825 13595 29909 35475 40785 67975 89727 116917 149545 203925 350751 448635 584585 747725 1286087 1753755 2243175 2922925 3858261 6430435 8768775 19291305 32152175 96456525