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796157056 = 2717593617
BaseRepresentation
bin101111011101000…
…110010010000000
32001111002222011101
4233131012102000
53112304011211
6211000224144
725505136412
oct5735062200
92044088141
10796157056
11379456642
121a276b054
13c8c38966
1477a489b2
1549d685c1
hex2f746480

796157056 has 64 divisors (see below), whose sum is σ = 1684952280. Its totient is φ = 373424128.

The previous prime is 796157027. The next prime is 796157069. The reversal of 796157056 is 650751697.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 617025600 + 179131456 = 24840^2 + 13384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 796156997 and 796157015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1290060 + ... + 1290676.

Almost surely, 2796157056 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 796157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842476140).

796157056 is an abundant number, since it is smaller than the sum of its proper divisors (888795224).

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

796157056 is a wasteful number, since it uses less digits than its factorization.

796157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 796157056 is about 28216.2551732153. The cubic root of 796157056 is about 926.8289330482.

The spelling of 796157056 in words is "seven hundred ninety-six million, one hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 593 617 1088 1186 1234 2176 2372 2468 4744 4936 9488 9872 10081 10489 18976 19744 20162 20978 37952 39488 40324 41956 75904 78976 80648 83912 161296 167824 322592 335648 365881 645184 671296 731762 1290368 1342592 1463524 2927048 5854096 6219977 11708192 12439954 23416384 24879908 46832768 49759816 99519632 199039264 398078528 796157056