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525229920 = 253751979
BaseRepresentation
bin11111010011100…
…101111101100000
31100121022110000000
4133103211331200
52033424324140
6124041300000
716005244365
oct3723457540
91317273000
10525229920
1124a52a016
12127a94600
1384a79b47
144da8246c
153119da30
hex1f4e5f60

525229920 has 384 divisors, whose sum is σ = 1983744000. Its totient is φ = 131010048.

The previous prime is 525229897. The next prime is 525229921. The reversal of 525229920 is 29922525.

525229920 is a `hidden beast` number, since 525 + 22 + 99 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (525229921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6648441 + ... + 6648519.

It is an arithmetic number, because the mean of its divisors is an integer number (5166000).

Almost surely, 2525229920 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 525229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991872000).

525229920 is an abundant number, since it is smaller than the sum of its proper divisors (1458514080).

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

525229920 is an equidigital number, since it uses as much as digits as its factorization.

525229920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 525229920 is about 22917.8951913128. The cubic root of 525229920 is about 806.8320707502.

The spelling of 525229920 in words is "five hundred twenty-five million, two hundred twenty-nine thousand, nine hundred twenty".