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525125376 = 28331741109
BaseRepresentation
bin11111010011001…
…100011100000000
31100121010010121000
4133103030130000
52033413003001
6124035132000
716004330526
oct3723143400
91317103530
10525125376
1124a468516
12127a44000
1384a41399
144da56316
153117ca86
hex1f4cc700

525125376 has 288 divisors, whose sum is σ = 1699790400. Its totient is φ = 159252480.

The previous prime is 525125371. The next prime is 525125387. The reversal of 525125376 is 673521525.

525125376 is a `hidden beast` number, since 525 + 12 + 53 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 525125376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525125371) 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 31 ways as a sum of consecutive naturals, for example, 4817610 + ... + 4817718.

It is an arithmetic number, because the mean of its divisors is an integer number (5902050).

Almost surely, 2525125376 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 525125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849895200).

525125376 is an abundant number, since it is smaller than the sum of its proper divisors (1174665024).

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

525125376 is a wasteful number, since it uses less digits than its factorization.

525125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 525125376 is about 22915.6142400766. The cubic root of 525125376 is about 806.7785354343.

The spelling of 525125376 in words is "five hundred twenty-five million, one hundred twenty-five thousand, three hundred seventy-six".