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484431872 = 211534463
BaseRepresentation
bin11100110111111…
…101100000000000
31020202112200121012
4130313331200000
51443003304442
6120023020052
715001413551
oct3467754000
91222480535
10484431872
112294a3921
1211629a628
1379493ca2
14484a2328
152c7e0582
hex1cdfd800

484431872 has 48 divisors (see below), whose sum is σ = 987124320. Its totient is φ = 237592576.

The previous prime is 484431841. The next prime is 484431877. The reversal of 484431872 is 278134484.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484431877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106313 + ... + 110775.

It is an arithmetic number, because the mean of its divisors is an integer number (20565090).

Almost surely, 2484431872 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 484431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493562160).

484431872 is an abundant number, since it is smaller than the sum of its proper divisors (502692448).

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

484431872 is an equidigital number, since it uses as much as digits as its factorization.

484431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4518 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The square root of 484431872 is about 22009.8130841677. The cubic root of 484431872 is about 785.3758985144.

The spelling of 484431872 in words is "four hundred eighty-four million, four hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 3392 4463 6784 8926 13568 17852 27136 35704 54272 71408 108544 142816 236539 285632 473078 571264 946156 1142528 1892312 2285056 3784624 4570112 7569248 9140224 15138496 30276992 60553984 121107968 242215936 484431872