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96759104 = 2613176841
BaseRepresentation
bin1011100010001…
…10110101000000
320202001212112112
411301012311000
5144232242404
613333514452
72253303341
oct561066500
9222055475
1096759104
114a688602
12284a2a28
131707a610
14cbca0c8
15876456e
hex5c46d40

96759104 has 56 divisors (see below), whose sum is σ = 218971368. Its totient is φ = 42024960.

The previous prime is 96759101. The next prime is 96759133. The reversal of 96759104 is 40195769.

It can be written as a sum of positive squares in 4 ways, for example, as 20720704 + 76038400 = 4552^2 + 8720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96759101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10724 + ... + 17564.

It is an arithmetic number, because the mean of its divisors is an integer number (3910203).

Almost surely, 296759104 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 96759104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109485684).

96759104 is an abundant number, since it is smaller than the sum of its proper divisors (122212264).

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

96759104 is a wasteful number, since it uses less digits than its factorization.

96759104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 96759104 is about 9836.6205578949. The cubic root of 96759104 is about 459.0894147869.

The spelling of 96759104 in words is "ninety-six million, seven hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 6841 7072 13682 14144 27364 54728 88933 109456 116297 177866 218912 232594 355732 437824 465188 711464 930376 1422928 1511861 1860752 2845856 3023722 3721504 5691712 6047444 7443008 12094888 24189776 48379552 96759104