Search a number
-
+
793100388 = 223172713221
BaseRepresentation
bin101111010001011…
…100000001100100
32001021100200012110
4233101130001210
53111013203023
6210410521020
725440146013
oct5721340144
92037320173
10793100388
11377759073
121a1736170
13c8408592
1477490a7a
1549962a93
hex2f45c064

793100388 has 72 divisors (see below), whose sum is σ = 1994134464. Its totient is φ = 245235200.

The previous prime is 793100387. The next prime is 793100389. The reversal of 793100388 is 883001397.

It is an interprime number because it is at equal distance from previous prime (793100387) and next prime (793100389).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (793100383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 244618 + ... + 247838.

It is an arithmetic number, because the mean of its divisors is an integer number (27696312).

Almost surely, 2793100388 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 793100388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997067232).

793100388 is an abundant number, since it is smaller than the sum of its proper divisors (1201034076).

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

793100388 is a wasteful number, since it uses less digits than its factorization.

793100388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 793100388 is about 28162.0380654526. The cubic root of 793100388 is about 925.6412939841.

The spelling of 793100388 in words is "seven hundred ninety-three million, one hundred thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 289 426 578 852 867 1156 1207 1734 2414 3221 3468 3621 4828 6442 7242 9663 12884 14484 19326 20519 38652 41038 54757 61557 82076 109514 123114 164271 219028 228691 246228 328542 457382 657084 686073 914764 930869 1372146 1861738 2744292 2792607 3723476 3887747 5585214 7775494 11170428 11663241 15550988 23326482 46652964 66091699 132183398 198275097 264366796 396550194 793100388