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800152808 = 237132591433
BaseRepresentation
bin101111101100010…
…101110011101000
32001202121222022012
4233230111303220
53114314342213
6211222015052
725554121010
oct5754256350
92052558265
10800152808
11380735714
121a3b77488
13c9a07600
14783a8c40
154a3a74a8
hex2fb15ce8

800152808 has 96 divisors (see below), whose sum is σ = 1889438400. Its totient is φ = 310961664.

The previous prime is 800152807. The next prime is 800152817. The reversal of 800152808 is 808251008.

It is not an unprimeable number, because it can be changed into a prime (800152807) 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 23 ways as a sum of consecutive naturals, for example, 557660 + ... + 559092.

It is an arithmetic number, because the mean of its divisors is an integer number (19681650).

Almost surely, 2800152808 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 800152808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944719200).

800152808 is an abundant number, since it is smaller than the sum of its proper divisors (1089285592).

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

800152808 is a wasteful number, since it uses less digits than its factorization.

800152808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 800152808 is about 28286.9724078064. The cubic root of 800152808 is about 928.3768689519.

The spelling of 800152808 in words is "eight hundred million, one hundred fifty-two thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 59 91 104 118 169 182 236 338 364 413 472 676 728 767 826 1183 1352 1433 1534 1652 2366 2866 3068 3304 4732 5369 5732 6136 9464 9971 10031 10738 11464 18629 19942 20062 21476 37258 39884 40124 42952 69797 74516 79768 80248 84547 130403 139594 149032 169094 242177 260806 279188 338188 484354 521612 558376 591829 676376 968708 1043224 1099111 1183658 1695239 1937416 2198222 2367316 3390478 4396444 4734632 6780956 7693777 8792888 13561912 14288443 15387554 28576886 30775108 57153772 61550216 100019101 114307544 200038202 400076404 800152808