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484484832 = 253213129403
BaseRepresentation
bin11100111000001…
…010011011100000
31020202122101020200
4130320022123200
51443012003312
6120024105200
715002024136
oct3470123340
91222571220
10484484832
1122952a697
12116305200
13794b2120
14484b7756
152c8010dc
hex1ce0a6e0

484484832 has 72 divisors (see below), whose sum is σ = 1483746264. Its totient is φ = 149071104.

The previous prime is 484484831. The next prime is 484484837. The reversal of 484484832 is 238484484.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484484831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60958 + ... + 68445.

It is an arithmetic number, because the mean of its divisors is an integer number (20607587).

Almost surely, 2484484832 is an apocalyptic number.

It is an amenable number.

484484832 is an abundant number, since it is smaller than the sum of its proper divisors (999261432).

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

484484832 is a wasteful number, since it uses less digits than its factorization.

484484832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129432 (or 129421 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 484484832 is about 22011.0161510095. The cubic root of 484484832 is about 785.4045176002.

It can be divided in two parts, 4844 and 84832, that added together give a triangular number (89676 = T423).

The spelling of 484484832 in words is "four hundred eighty-four million, four hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 129403 258806 388209 517612 776418 1035224 1164627 1552836 1682239 2070448 2329254 3105672 3364478 4140896 4658508 5046717 6211344 6728956 9317016 10093434 12422688 13457912 15140151 18634032 20186868 26915824 30280302 37268064 40373736 53831648 60560604 80747472 121121208 161494944 242242416 484484832