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525242880 = 2934517149
BaseRepresentation
bin11111010011101…
…001001000000000
31100121100002210000
4133103221020000
52033430233010
6124041440000
716005330231
oct3723511000
91317302700
10525242880
1124a538828
12127aa0000
1384a82a06
144da87088
15311a27c0
hex1f4e9200

525242880 has 400 divisors, whose sum is σ = 2005284600. Its totient is φ = 130940928.

The previous prime is 525242857. The next prime is 525242899. The reversal of 525242880 is 88242525.

525242880 is a `hidden beast` number, since 52 + 524 + 2 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 389193984 + 136048896 = 19728^2 + 11664^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3525046 + ... + 3525194.

Almost surely, 2525242880 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 525242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002642300).

525242880 is an abundant number, since it is smaller than the sum of its proper divisors (1480041720).

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

525242880 is a wasteful number, since it uses less digits than its factorization.

525242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 525242880 is about 22918.1779380473. The cubic root of 525242880 is about 806.8387068647.

The spelling of 525242880 in words is "five hundred twenty-five million, two hundred forty-two thousand, eight hundred eighty".