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504225792 = 213327977
BaseRepresentation
bin11110000011011…
…110000000000000
31022010210022202100
4132003132000000
52013040211132
6122011150400
715331564020
oct3603360000
91263708670
10504225792
11239693334
12120a45400
1380604675
144ad75a80
152e40037c
hex1e0de000

504225792 has 168 divisors, whose sum is σ = 1666347696. Its totient is φ = 143917056.

The previous prime is 504225791. The next prime is 504225847. The reversal of 504225792 is 297522405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504225791) 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, 515608 + ... + 516584.

Almost surely, 2504225792 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 504225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833173848).

504225792 is an abundant number, since it is smaller than the sum of its proper divisors (1162121904).

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

504225792 is an equidigital number, since it uses as much as digits as its factorization.

504225792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 504225792 is about 22454.9725450734. The cubic root of 504225792 is about 795.9302650120.

The spelling of 504225792 in words is "five hundred four million, two hundred twenty-five thousand, seven hundred ninety-two".