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800974896 = 24329619433
BaseRepresentation
bin101111101111011…
…110100000110000
32001211011201222220
4233233132200300
53120022144041
6211251401040
725564113531
oct5757364060
92054151886
10800974896
11381147327
121a42b3180
13c9c34857
1478540688
154a4bad66
hex2fbde830

800974896 has 80 divisors (see below), whose sum is σ = 2175857760. Its totient is φ = 253532160.

The previous prime is 800974891. The next prime is 800974901. The reversal of 800974896 is 698479008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (800974891) and next prime (800974901).

It is not an unprimeable number, because it can be changed into a prime (800974891) 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, 80196 + ... + 89628.

It is an arithmetic number, because the mean of its divisors is an integer number (27198222).

Almost surely, 2800974896 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 800974896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087928880).

800974896 is an abundant number, since it is smaller than the sum of its proper divisors (1374882864).

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

800974896 is a wasteful number, since it uses less digits than its factorization.

800974896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 800974896 is about 28301.4998895818. The cubic root of 800974896 is about 928.6947025158.

The spelling of 800974896 in words is "eight hundred million, nine hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 61 87 116 122 174 183 232 244 348 366 464 488 696 732 976 1392 1464 1769 2928 3538 5307 7076 9433 10614 14152 18866 21228 28299 28304 37732 42456 56598 75464 84912 113196 150928 226392 273557 452784 547114 575413 820671 1094228 1150826 1641342 1726239 2188456 2301652 3282684 3452478 4376912 4603304 6565368 6904956 9206608 13130736 13809912 16686977 27619824 33373954 50060931 66747908 100121862 133495816 200243724 266991632 400487448 800974896