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801999816 = 233531314813
BaseRepresentation
bin101111110011011…
…000101111001000
32001220002210220220
4233303120233020
53120302443231
6211325350040
725605612612
oct5763305710
92056083826
10801999816
11381787372
121a4708320
13ca203207
1478729db2
154a61e896
hex2fcd8bc8

801999816 has 64 divisors (see below), whose sum is σ = 2058851520. Its totient is φ = 260232960.

The previous prime is 801999797. The next prime is 801999829. The reversal of 801999816 is 618999108.

It is a happy number.

It is an unprimeable number.

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, 164226 + ... + 169038.

It is an arithmetic number, because the mean of its divisors is an integer number (32169555).

Almost surely, 2801999816 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 801999816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029425760).

801999816 is an abundant number, since it is smaller than the sum of its proper divisors (1256851704).

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

801999816 is a wasteful number, since it uses less digits than its factorization.

801999816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 51.

The square root of 801999816 is about 28319.6012683795. The cubic root of 801999816 is about 929.0906500376.

The spelling of 801999816 in words is "eight hundred one million, nine hundred ninety-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 106 131 159 212 262 318 393 424 524 636 786 1048 1272 1572 3144 4813 6943 9626 13886 14439 19252 20829 27772 28878 38504 41658 55544 57756 83316 115512 166632 255089 510178 630503 765267 1020356 1261006 1530534 1891509 2040712 2522012 3061068 3783018 5044024 6122136 7566036 15132072 33416659 66833318 100249977 133666636 200499954 267333272 400999908 801999816