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800197056 = 26375717
BaseRepresentation
bin101111101100100…
…000100111000000
32001202201020000000
4233230200213000
53114322301211
6211223000000
725554364011
oct5754404700
92052636000
10800197056
1138076598a
121a3b99000
13c9a217a9
14783bb008
154a3b5656
hex2fb209c0

800197056 has 112 divisors (see below), whose sum is σ = 2381890080. Its totient is φ = 266685696.

The previous prime is 800197049. The next prime is 800197061. The reversal of 800197056 is 650791008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 800197056.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 137110 + ... + 142826.

Almost surely, 2800197056 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 800197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190945040).

800197056 is an abundant number, since it is smaller than the sum of its proper divisors (1581693024).

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

800197056 is an frugal number, since it uses more digits than its factorization.

800197056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 800197056 is about 28287.7545238218. The cubic root of 800197056 is about 928.3939815426.

The spelling of 800197056 in words is "eight hundred million, one hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5717 5832 7776 8748 11434 11664 15552 17151 17496 22868 23328 34302 34992 45736 46656 51453 68604 69984 91472 102906 137208 139968 154359 182944 205812 274416 308718 365888 411624 463077 548832 617436 823248 926154 1097664 1234872 1389231 1646496 1852308 2469744 2778462 3292992 3704616 4167693 4939488 5556924 7409232 8335386 9878976 11113848 12503079 14818464 16670772 22227696 25006158 29636928 33341544 44455392 50012316 66683088 88910784 100024632 133366176 200049264 266732352 400098528 800197056