Search a number
-
+
796010072 = 2311131913643
BaseRepresentation
bin101111011100100…
…010011001011000
32001110211111112112
4233130202121120
53112234310242
6210553131452
725503655034
oct5734423130
92043744475
10796010072
11379366170
121a26b9b88
13c8bb6aa0
1477a0b1c4
1549d39c82
hex2f722658

796010072 has 64 divisors (see below), whose sum is σ = 1763112960. Its totient is φ = 332150400.

The previous prime is 796010071. The next prime is 796010077. The reversal of 796010072 is 270010697.

796010072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796010071) 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, 216683 + ... + 220325.

It is an arithmetic number, because the mean of its divisors is an integer number (27548640).

Almost surely, 2796010072 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 796010072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881556480).

796010072 is an abundant number, since it is smaller than the sum of its proper divisors (967102888).

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

796010072 is a wasteful number, since it uses less digits than its factorization.

796010072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 796010072 is about 28213.6504550546. The cubic root of 796010072 is about 926.7718934615.

The spelling of 796010072 in words is "seven hundred ninety-six million, ten thousand, seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 191 286 382 572 764 1144 1528 2101 2483 3643 4202 4966 7286 8404 9932 14572 16808 19864 27313 29144 40073 47359 54626 80146 94718 109252 160292 189436 218504 320584 378872 520949 695813 1041898 1391626 2083796 2783252 4167592 5566504 7653943 9045569 15307886 18091138 30615772 36182276 61231544 72364552 99501259 199002518 398005036 796010072