Search a number
-
+
604480032 = 253213161453
BaseRepresentation
bin100100000001111…
…010001000100000
31120010102202201100
4210001322020200
52214221330112
6135552034400
720656665312
oct4401721040
91503382640
10604480032
11290238882
1214a532a00
1398306ac0
145a3d17b2
15381052dc
hex2407a220

604480032 has 72 divisors (see below), whose sum is σ = 1851231564. Its totient is φ = 185992704.

The previous prime is 604480007. The next prime is 604480039. The reversal of 604480032 is 230084406.

It can be written as a sum of positive squares in 2 ways, for example, as 603390096 + 1089936 = 24564^2 + 1044^2 .

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

It is a super-2 number, since 2×6044800322 = 730792218173442048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 604479978 and 604480005.

It is not an unprimeable number, because it can be changed into a prime (604480039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76983 + ... + 84470.

Almost surely, 2604480032 is an apocalyptic number.

It is an amenable number.

604480032 is an abundant number, since it is smaller than the sum of its proper divisors (1246751532).

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

604480032 is a wasteful number, since it uses less digits than its factorization.

604480032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161482 (or 161471 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 604480032 is about 24586.1756277791. The cubic root of 604480032 is about 845.5266872757.

The spelling of 604480032 in words is "six hundred four million, four hundred eighty thousand, 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 161453 322906 484359 645812 968718 1291624 1453077 1937436 2098889 2583248 2906154 3874872 4197778 5166496 5812308 6296667 7749744 8395556 11624616 12593334 15499488 16791112 18890001 23249232 25186668 33582224 37780002 46498464 50373336 67164448 75560004 100746672 151120008 201493344 302240016 604480032