Search a number
-
+
483834624 = 28372132343
BaseRepresentation
bin11100110101101…
…011101100000000
31020201102100022220
4130311223230000
51442330201444
6120002131040
714663345400
oct3465535400
91221370286
10483834624
11229126129
12116050a80
13793151a0
1448388800
152c723619
hex1cd6bb00

483834624 has 432 divisors, whose sum is σ = 1722454272. Its totient is φ = 119218176.

The previous prime is 483834599. The next prime is 483834641. The reversal of 483834624 is 426438384.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11251947 + ... + 11251989.

Almost surely, 2483834624 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 483834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861227136).

483834624 is an abundant number, since it is smaller than the sum of its proper divisors (1238619648).

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

483834624 is a wasteful number, since it uses less digits than its factorization.

483834624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 483834624 is about 21996.2411334300. The cubic root of 483834624 is about 785.0530068200.

The spelling of 483834624 in words is "four hundred eighty-three million, eight hundred thirty-four thousand, six hundred twenty-four".