Search a number
-
+
796802848 = 25195379313
BaseRepresentation
bin101111011111100…
…011111100100000
32001112022210000121
4233133203330200
53112440142343
6211022130024
725513466242
oct5737437440
92045283017
10796802848
11379857856
121a2a20914
13c910389a
1477b76092
1549e44aed
hex2f7e3f20

796802848 has 96 divisors (see below), whose sum is σ = 1709164800. Its totient is φ = 364455936.

The previous prime is 796802819. The next prime is 796802863. The reversal of 796802848 is 848208697.

It is a super-2 number, since 2×7968028482 = 1269789557161822208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 796802795 and 796802804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2545540 + ... + 2545852.

It is an arithmetic number, because the mean of its divisors is an integer number (17803800).

Almost surely, 2796802848 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 796802848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854582400).

796802848 is an abundant number, since it is smaller than the sum of its proper divisors (912361952).

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

796802848 is a wasteful number, since it uses less digits than its factorization.

796802848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The square root of 796802848 is about 28227.6964699566. The cubic root of 796802848 is about 927.0794602302.

It can be divided in two parts, 79680 and 2848, that added together give a palindrome (82528).

The spelling of 796802848 in words is "seven hundred ninety-six million, eight hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 53 76 79 106 152 158 212 304 313 316 424 608 626 632 848 1007 1252 1264 1501 1696 2014 2504 2528 3002 4028 4187 5008 5947 6004 8056 8374 10016 11894 12008 16112 16589 16748 23788 24016 24727 32224 33178 33496 47576 48032 49454 66356 66992 79553 95152 98908 132712 133984 159106 190304 197816 265424 315191 318212 395632 469813 530848 630382 636424 791264 939626 1260764 1272848 1310531 1879252 2521528 2545696 2621062 3758504 5043056 5242124 7517008 10086112 10484248 15034016 20968496 24900089 41936992 49800178 99600356 199200712 398401424 796802848