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96625360 = 24513531753
BaseRepresentation
bin1011100001001…
…10001011010000
320201211002002001
411300212023100
5144214002420
613331003344
72252205406
oct560461320
9221732061
1096625360
114a5a7077
1228439554
1317031790
14cb93476
158739b0a
hex5c262d0

96625360 has 80 divisors (see below), whose sum is σ = 246640464. Its totient is φ = 34983936.

The previous prime is 96625337. The next prime is 96625379. The reversal of 96625360 is 6352669.

It can be written as a sum of positive squares in 8 ways, for example, as 19044496 + 77580864 = 4364^2 + 8808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 54244 + ... + 55996.

Almost surely, 296625360 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 96625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123320232).

96625360 is an abundant number, since it is smaller than the sum of its proper divisors (150015104).

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

96625360 is a wasteful number, since it uses less digits than its factorization.

96625360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 96625360 is about 9829.8199373132. The cubic root of 96625360 is about 458.8777938166.

The spelling of 96625360 in words is "ninety-six million, six hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 424 520 530 689 848 1040 1060 1378 1753 2120 2756 3445 3506 4240 5512 6890 7012 8765 11024 13780 14024 17530 22789 27560 28048 35060 45578 55120 70120 91156 92909 113945 140240 182312 185818 227890 364624 371636 455780 464545 743272 911560 929090 1207817 1486544 1823120 1858180 2415634 3716360 4831268 6039085 7432720 9662536 12078170 19325072 24156340 48312680 96625360