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78848680 = 23529101673
BaseRepresentation
bin1001011001100…
…10001010101000
312111100221001111
410230302022220
5130141124210
611454000104
71645126351
oct454621250
9174327044
1078848680
11405651a9
12224a6034
1313449331
14a686d28
156dc788a
hex4b322a8

78848680 has 64 divisors (see below), whose sum is σ = 185619600. Its totient is φ = 30105600.

The previous prime is 78848647. The next prime is 78848701. The reversal of 78848680 is 8684887.

It can be written as a sum of positive squares in 8 ways, for example, as 50779876 + 28068804 = 7126^2 + 5298^2 .

It is a super-2 number, since 2×788486802 = 12434228675484800, which contains 22 as substring.

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, 116824 + ... + 117496.

Almost surely, 278848680 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 78848680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92809800).

78848680 is an abundant number, since it is smaller than the sum of its proper divisors (106770920).

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

78848680 is a wasteful number, since it uses less digits than its factorization.

78848680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

The square root of 78848680 is about 8879.6779220870. The cubic root of 78848680 is about 428.8099055826.

The spelling of 78848680 in words is "seventy-eight million, eight hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 101 116 145 202 232 290 404 505 580 673 808 1010 1160 1346 2020 2692 2929 3365 4040 5384 5858 6730 11716 13460 14645 19517 23432 26920 29290 39034 58580 67973 78068 97585 117160 135946 156136 195170 271892 339865 390340 543784 679730 780680 1359460 1971217 2718920 3942434 7884868 9856085 15769736 19712170 39424340 78848680