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425124960 = 253513193353
BaseRepresentation
bin11001010101101…
…110010001100000
31002121221120210220
4121111232101200
51332312444320
6110103523040
713351334241
oct3125562140
91077846726
10425124960
111a8a76747
12ba459480
136a0ca640
1440664cc8
15274c7e40
hex1956e460

425124960 has 192 divisors, whose sum is σ = 1453733568. Its totient is φ = 103809024.

The previous prime is 425124929. The next prime is 425124971. The reversal of 425124960 is 69421524.

It is a congruent number.

It is an unprimeable number.

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, 1204144 + ... + 1204496.

It is an arithmetic number, because the mean of its divisors is an integer number (7571529).

Almost surely, 2425124960 is an apocalyptic number.

425124960 is a gapful number since it is divisible by the number (40) 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 425124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726866784).

425124960 is an abundant number, since it is smaller than the sum of its proper divisors (1028608608).

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

425124960 is a wasteful number, since it uses less digits than its factorization.

425124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 425124960 is about 20618.5586305154. The cubic root of 425124960 is about 751.9209778138.

The spelling of 425124960 in words is "four hundred twenty-five million, one hundred twenty-four thousand, nine hundred sixty".