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530825724 = 223611131967
BaseRepresentation
bin11111101000111…
…100000111111100
31100222211202000000
4133220330013330
52041342410344
6124401234300
716103641602
oct3750740774
91328752000
10530825724
11252701250
12129932990
1385c88b80
14506db872
1531906a69
hex1fa3c1fc

530825724 has 336 divisors, whose sum is σ = 1748100480. Its totient is φ = 138568320.

The previous prime is 530825723. The next prime is 530825783. The reversal of 530825724 is 427528035.

530825724 is a `hidden beast` number, since 5 + 3 + 0 + 82 + 572 + 4 = 666.

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 (530825723) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7922739 + ... + 7922805.

It is an arithmetic number, because the mean of its divisors is an integer number (5202680).

Almost surely, 2530825724 is an apocalyptic number.

530825724 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530825724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874050240).

530825724 is an abundant number, since it is smaller than the sum of its proper divisors (1217274756).

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

530825724 is a wasteful number, since it uses less digits than its factorization.

530825724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 530825724 is about 23039.6554661740. The cubic root of 530825724 is about 809.6872866950.

The spelling of 530825724 in words is "five hundred thirty million, eight hundred twenty-five thousand, seven hundred twenty-four".