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804058008 = 233134096301
BaseRepresentation
bin101111111011001…
…111001110011000
32002000222101020020
4233323033032120
53121314324013
6211441430440
725632244305
oct5773171630
92060871206
10804058008
11382962756
121a533b420
13ca773c90
1478b040ac
154a8c9623
hex2fecf398

804058008 has 64 divisors (see below), whose sum is σ = 2170408800. Its totient is φ = 246758400.

The previous prime is 804057967. The next prime is 804058009. The reversal of 804058008 is 800850408.

It is a self number, because there is not a number n which added to its sum of digits gives 804058008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804058009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124458 + ... + 130758.

Almost surely, 2804058008 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 804058008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085204400).

804058008 is an abundant number, since it is smaller than the sum of its proper divisors (1366350792).

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

804058008 is a wasteful number, since it uses less digits than its factorization.

804058008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 804058008 is about 28355.9166312782. The cubic root of 804058008 is about 929.8847539005.

The spelling of 804058008 in words is "eight hundred four million, fifty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 409 818 1227 1636 2454 3272 4908 5317 6301 9816 10634 12602 15951 18903 21268 25204 31902 37806 42536 50408 63804 75612 81913 127608 151224 163826 245739 327652 491478 655304 982956 1965912 2577109 5154218 7731327 10308436 15462654 20616872 30925308 33502417 61850616 67004834 100507251 134009668 201014502 268019336 402029004 804058008