Search a number
-
+
504082432 = 212717581
BaseRepresentation
bin11110000010111…
…011000000000000
31022010112001002201
4132002323000000
52013021114212
6122004122544
715330426040
oct3602730000
91263461081
10504082432
112395a5657
12120996454
1380584339
144ad39720
152e3c2b57
hex1e0bb000

504082432 has 52 divisors (see below), whose sum is σ = 1152113296. Its totient is φ = 216023040.

The previous prime is 504082429. The next prime is 504082433. The reversal of 504082432 is 234280405.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 504082432.

It is not an unprimeable number, because it can be changed into a prime (504082433) 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, 19882 + ... + 37462.

Almost surely, 2504082432 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 504082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576056648).

504082432 is an abundant number, since it is smaller than the sum of its proper divisors (648030864).

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

504082432 is an equidigital number, since it uses as much as digits as its factorization.

504082432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17612 (or 17590 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 504082432 is about 22451.7801521394. The cubic root of 504082432 is about 795.8548256749.

The spelling of 504082432 in words is "five hundred four million, eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 14336 17581 28672 35162 70324 123067 140648 246134 281296 492268 562592 984536 1125184 1969072 2250368 3938144 4500736 7876288 9001472 15752576 18002944 31505152 36005888 63010304 72011776 126020608 252041216 504082432