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425639520 = 253251947331
BaseRepresentation
bin11001010111101…
…011111001100000
31002122220201122200
4121113223321200
51332430431040
6110122533200
713355606355
oct3127537140
91078821580
10425639520
111a92982a9
12ba667200
136a24a907
144075a62c
152757a630
hex195ebe60

425639520 has 288 divisors, whose sum is σ = 1566190080. Its totient is φ = 104924160.

The previous prime is 425639471. The next prime is 425639531. The reversal of 425639520 is 25936524.

425639520 is a `hidden beast` number, since 4 + 2 + 563 + 95 + 2 + 0 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1285755 + ... + 1286085.

It is an arithmetic number, because the mean of its divisors is an integer number (5438160).

Almost surely, 2425639520 is an apocalyptic number.

425639520 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 425639520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783095040).

425639520 is an abundant number, since it is smaller than the sum of its proper divisors (1140550560).

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

425639520 is a wasteful number, since it uses less digits than its factorization.

425639520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 425639520 is about 20631.0329358469. The cubic root of 425639520 is about 752.2242239166.

The spelling of 425639520 in words is "four hundred twenty-five million, six hundred thirty-nine thousand, five hundred twenty".