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96996872 = 2372349709
BaseRepresentation
bin1011100100000…
…00111000001000
320202111221200202
411302000320020
5144312344442
613342551332
72255313500
oct562007010
9222457622
1096996872
114a830205
1228598548
13171318cb
14cc4ca00
1587aec32
hex5c80e08

96996872 has 48 divisors (see below), whose sum is σ = 212467500. Its totient is φ = 41392512.

The previous prime is 96996853. The next prime is 96996877. The reversal of 96996872 is 27869969.

It can be written as a sum of positive squares in 2 ways, for example, as 96314596 + 682276 = 9814^2 + 826^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (96996877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136454 + ... + 137162.

Almost surely, 296996872 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 96996872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106233750).

96996872 is an abundant number, since it is smaller than the sum of its proper divisors (115470628).

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

96996872 is a wasteful number, since it uses less digits than its factorization.

96996872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 56.

The square root of 96996872 is about 9848.6990003756. The cubic root of 96996872 is about 459.4651502589.

The spelling of 96996872 in words is "ninety-six million, nine hundred ninety-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 349 392 698 709 1396 1418 2443 2792 2836 4886 4963 5672 9772 9926 17101 19544 19852 34202 34741 39704 68404 69482 136808 138964 247441 277928 494882 989764 1732087 1979528 3464174 6928348 12124609 13856696 24249218 48498436 96996872