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530456256 = 26331124359
BaseRepresentation
bin11111100111100…
…001111011000000
31100222010222012000
4133213201323000
52041244100011
6124345304000
716100542461
oct3747417300
91328128160
10530456256
11252479700
12129795000
1385b89955
1450642d68
1531882356
hex1f9e1ec0

530456256 has 336 divisors, whose sum is σ = 1783689600. Its totient is φ = 154344960.

The previous prime is 530456203. The next prime is 530456257. The reversal of 530456256 is 652654035.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 530456256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530456257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8990755 + ... + 8990813.

It is an arithmetic number, because the mean of its divisors is an integer number (5308600).

Almost surely, 2530456256 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 530456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891844800).

530456256 is an abundant number, since it is smaller than the sum of its proper divisors (1253233344).

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

530456256 is a wasteful number, since it uses less digits than its factorization.

530456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 530456256 is about 23031.6359818403. The cubic root of 530456256 is about 809.4993888836.

The spelling of 530456256 in words is "five hundred thirty million, four hundred fifty-six thousand, two hundred fifty-six".