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79020864 = 26321361173
BaseRepresentation
bin1001011010111…
…00001101000000
312111200200020200
410231130031000
5130212131424
611501405200
71646444346
oct455341500
9174620220
1079020864
11406725aa
1222569800
13134a9810
14a6cd996
156e0d8c9
hex4b5c340

79020864 has 168 divisors, whose sum is σ = 249353832. Its totient is φ = 23777280.

The previous prime is 79020859. The next prime is 79020881. The reversal of 79020864 is 46802097.

It can be written as a sum of positive squares in 4 ways, for example, as 1440000 + 77580864 = 1200^2 + 8808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 456682 + ... + 456854.

It is an arithmetic number, because the mean of its divisors is an integer number (1484249).

Almost surely, 279020864 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 79020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124676916).

79020864 is an abundant number, since it is smaller than the sum of its proper divisors (170332968).

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

79020864 is a wasteful number, since it uses less digits than its factorization.

79020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 79020864 is about 8889.3680315307. The cubic root of 79020864 is about 429.1218132573.

The spelling of 79020864 in words is "seventy-nine million, twenty thousand, eight hundred sixty-four".