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800965396 = 227116414057
BaseRepresentation
bin101111101111011…
…100001100010100
32001211011020222001
4233233130030110
53120021343041
6211251245044
725564044040
oct5757341424
92054136861
10800965396
11381140180
121a42a9784
13c9c3042a
147853b020
154a4b8131
hex2fbdc314

800965396 has 48 divisors (see below), whose sum is σ = 1750718592. Its totient is φ = 311500800.

The previous prime is 800965391. The next prime is 800965397. The reversal of 800965396 is 693569008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800965391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195400 + ... + 199456.

It is an arithmetic number, because the mean of its divisors is an integer number (36473304).

Almost surely, 2800965396 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 800965396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875359296).

800965396 is an abundant number, since it is smaller than the sum of its proper divisors (949753196).

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

800965396 is a wasteful number, since it uses less digits than its factorization.

800965396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 800965396 is about 28301.3320534564. The cubic root of 800965396 is about 928.6910308924.

The spelling of 800965396 in words is "eight hundred million, nine hundred sixty-five thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 641 1282 2564 4057 4487 7051 8114 8974 14102 16228 17948 28204 28399 44627 49357 56798 89254 98714 113596 178508 197428 312389 624778 1249556 2600537 5201074 10402148 18203759 28605907 36407518 57211814 72815036 114423628 200241349 400482698 800965396