Search a number
-
+
796955016 = 2331113733181
BaseRepresentation
bin101111100000001…
…001000110001000
32001112121111202110
4233200021012020
53113010030031
6211025302320
725515002004
oct5740110610
92045544673
10796955016
11379951110
121a2a949a0
13c9157c20
1477bb5704
1549e74c46
hex2f809188

796955016 has 128 divisors (see below), whose sum is σ = 2373517440. Its totient is φ = 219801600.

The previous prime is 796954999. The next prime is 796955041. The reversal of 796955016 is 610559697.

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 31 ways as a sum of consecutive naturals, for example, 248946 + ... + 252126.

It is an arithmetic number, because the mean of its divisors is an integer number (18543105).

Almost surely, 2796955016 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 796955016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186758720).

796955016 is an abundant number, since it is smaller than the sum of its proper divisors (1576562424).

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

796955016 is a wasteful number, since it uses less digits than its factorization.

796955016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The square root of 796955016 is about 28230.3917082282. The cubic root of 796955016 is about 927.1384722549.

The spelling of 796955016 in words is "seven hundred ninety-six million, nine hundred fifty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 73 78 88 104 132 143 146 156 219 264 286 292 312 429 438 572 584 803 858 876 949 1144 1606 1716 1752 1898 2409 2847 3181 3212 3432 3796 4818 5694 6362 6424 7592 9543 9636 10439 11388 12724 19086 19272 20878 22776 25448 31317 34991 38172 41353 41756 62634 69982 76344 82706 83512 104973 124059 125268 139964 165412 209946 232213 248118 250536 279928 330824 419892 454883 464426 496236 696639 839784 909766 928852 992472 1364649 1393278 1819532 1857704 2554343 2729298 2786556 3018769 3639064 5108686 5458596 5573112 6037538 7663029 9056307 10217372 10917192 12075076 15326058 18112614 20434744 24150152 30652116 33206459 36225228 61304232 66412918 72450456 99619377 132825836 199238754 265651672 398477508 796955016