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803804512 = 25717920047
BaseRepresentation
bin101111111010010…
…001010101100000
32002000111111111111
4233322101111200
53121233221022
6211432153104
725630140250
oct5772212540
92060444444
10803804512
113827aa255
121a5238794
13ca6b5794
1478a79960
154a879477
hex2fe91560

803804512 has 48 divisors (see below), whose sum is σ = 1818754560. Its totient is φ = 342546048.

The previous prime is 803804509. The next prime is 803804543. The reversal of 803804512 is 215408308.

803804512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8038045122 = 1292203387023116288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30073 + ... + 50119.

It is an arithmetic number, because the mean of its divisors is an integer number (37890720).

Almost surely, 2803804512 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 803804512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909377280).

803804512 is an abundant number, since it is smaller than the sum of its proper divisors (1014950048).

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

803804512 is a wasteful number, since it uses less digits than its factorization.

803804512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20243 (or 20235 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 803804512 is about 28351.4463828567. The cubic root of 803804512 is about 929.7870217968.

The spelling of 803804512 in words is "eight hundred three million, eight hundred four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 716 1253 1432 2506 2864 5012 5728 10024 20047 20048 40094 40096 80188 140329 160376 280658 320752 561316 641504 1122632 2245264 3588413 4490528 7176826 14353652 25118891 28707304 50237782 57414608 100475564 114829216 200951128 401902256 803804512