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803400992 = 25431314457
BaseRepresentation
bin101111111000101…
…110110100100000
32001222201222222022
4233320232310200
53121132312432
6211415401012
725623536642
oct5770566440
92058658868
10803400992
11382554069
121a5083168
13ca5a3c04
14789b2892
154a7e9b12
hex2fe2ed20

803400992 has 48 divisors (see below), whose sum is σ = 1631200032. Its totient is φ = 389276160.

The previous prime is 803400979. The next prime is 803401003. The reversal of 803400992 is 299004308.

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, 178028 + ... + 182484.

It is an arithmetic number, because the mean of its divisors is an integer number (33983334).

Almost surely, 2803400992 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 803400992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815600016).

803400992 is an abundant number, since it is smaller than the sum of its proper divisors (827799040).

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

803400992 is a wasteful number, since it uses less digits than its factorization.

803400992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 803400992 is about 28344.3290977225. The cubic root of 803400992 is about 929.6314074843.

The spelling of 803400992 in words is "eight hundred three million, four hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 43 86 131 172 262 344 524 688 1048 1376 2096 4192 4457 5633 8914 11266 17828 22532 35656 45064 71312 90128 142624 180256 191651 383302 583867 766604 1167734 1533208 2335468 3066416 4670936 6132832 9341872 18683744 25106281 50212562 100425124 200850248 401700496 803400992