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525452480 = 26572233147
BaseRepresentation
bin11111010100011…
…100010011000000
31100121201202021222
4133110130103000
52034003434410
6124050134212
716010162300
oct3724342300
91317652258
10525452480
1124a671253
12127b81368
1384b27237
144dadd600
15311e4955
hex1f51c4c0

525452480 has 336 divisors, whose sum is σ = 1601150976. Its totient is φ = 163215360.

The previous prime is 525452453. The next prime is 525452483. The reversal of 525452480 is 84254525.

It is a super-2 number, since 2×5254524802 = 552200617476300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 525452480.

It is not an unprimeable number, because it can be changed into a prime (525452483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11179817 + ... + 11179863.

Almost surely, 2525452480 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 525452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800575488).

525452480 is an abundant number, since it is smaller than the sum of its proper divisors (1075698496).

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

525452480 is a wasteful number, since it uses less digits than its factorization.

525452480 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 64000, while the sum is 35.

The square root of 525452480 is about 22922.7502712916. The cubic root of 525452480 is about 806.9460165236.

The spelling of 525452480 in words is "five hundred twenty-five million, four hundred fifty-two thousand, four hundred eighty".