Search a number
-
+
796031520 = 25352775987
BaseRepresentation
bin101111011100100…
…111101000100000
32001110212120221220
4233130213220200
53112241002040
6210553415040
725504104414
oct5734475040
92043776856
10796031520
11379380299
121a270a480
13c8bc378b
1477a14d44
1549d412d0
hex2f727a20

796031520 has 96 divisors (see below), whose sum is σ = 2516971968. Its totient is φ = 211473408.

The previous prime is 796031507. The next prime is 796031521. The reversal of 796031520 is 25130697.

796031520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (796031521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129967 + ... + 135953.

It is an arithmetic number, because the mean of its divisors is an integer number (26218458).

Almost surely, 2796031520 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 796031520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258485984).

796031520 is an abundant number, since it is smaller than the sum of its proper divisors (1720940448).

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

796031520 is a wasteful number, since it uses less digits than its factorization.

796031520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 796031520 is about 28214.0305521916. The cubic root of 796031520 is about 926.7802171523.

The spelling of 796031520 in words is "seven hundred ninety-six million, thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 831 1108 1385 1662 2216 2770 3324 4155 4432 5540 5987 6648 8310 8864 11080 11974 13296 16620 17961 22160 23948 26592 29935 33240 35922 44320 47896 59870 66480 71844 89805 95792 119740 132960 143688 179610 191584 239480 287376 359220 478960 574752 718440 957920 1436880 1658399 2873760 3316798 4975197 6633596 8291995 9950394 13267192 16583990 19900788 24875985 26534384 33167980 39801576 49751970 53068768 66335960 79603152 99503940 132671920 159206304 199007880 265343840 398015760 796031520