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504230832 = 2435797191
BaseRepresentation
bin11110000011011…
…111001110110000
31022010210120200000
4132003133032300
52013040341312
6122011230000
715331614510
oct3603371660
91263716600
10504230832
112396970a6
12120a48300
1380606a51
144ad77840
152e401adc
hex1e0df3b0

504230832 has 240 divisors, whose sum is σ = 1698557952. Its totient is φ = 141834240.

The previous prime is 504230821. The next prime is 504230843. The reversal of 504230832 is 238032405.

It is an interprime number because it is at equal distance from previous prime (504230821) and next prime (504230843).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 504230796 and 504230805.

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, 2639857 + ... + 2640047.

Almost surely, 2504230832 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 504230832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849278976).

504230832 is an abundant number, since it is smaller than the sum of its proper divisors (1194327120).

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

504230832 is a wasteful number, since it uses less digits than its factorization.

504230832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 504230832 is about 22455.0847693791. The cubic root of 504230832 is about 795.9329169160.

504230832 divided by its sum of digits (27) gives a triangular number (18675216 = T6111).

The spelling of 504230832 in words is "five hundred four million, two hundred thirty thousand, eight hundred thirty-two".