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96819488 = 2517434139
BaseRepresentation
bin1011100010101…
…01100100100000
320202011221100222
411301111210200
5144241210423
613335102212
72253644363
oct561254440
9222157328
1096819488
114a719a07
1228511968
131709bc4c
14cc040da
1587773c8
hex5c55920

96819488 has 48 divisors (see below), whose sum is σ = 206569440. Its totient is φ = 44491776.

The previous prime is 96819469. The next prime is 96819517. The reversal of 96819488 is 88491869.

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 7 ways as a sum of consecutive naturals, for example, 21323 + ... + 25461.

It is an arithmetic number, because the mean of its divisors is an integer number (4303530).

Almost surely, 296819488 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 96819488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103284720).

96819488 is an abundant number, since it is smaller than the sum of its proper divisors (109749952).

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

96819488 is a wasteful number, since it uses less digits than its factorization.

96819488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4201 counting only the distinct ones).

The product of its digits is 995328, while the sum is 53.

The square root of 96819488 is about 9839.6894259931. The cubic root of 96819488 is about 459.1848955199.

The spelling of 96819488 in words is "ninety-six million, eight hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 544 688 731 1376 1462 2924 4139 5848 8278 11696 16556 23392 33112 66224 70363 132448 140726 177977 281452 355954 562904 711908 1125808 1423816 2251616 2847632 3025609 5695264 6051218 12102436 24204872 48409744 96819488