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425265120 = 253357441
BaseRepresentation
bin11001010110010…
…000011111100000
31002122012201002000
4121112100133200
51332331440440
6110110524000
713352460000
oct3126203740
91078181060
10425265120
111a9061a85
12ba506600
136a149387
14406a0000
1527504730
hex195907e0

425265120 has 480 divisors, whose sum is σ = 1778747040. Its totient is φ = 94832640.

The previous prime is 425265107. The next prime is 425265121. The reversal of 425265120 is 21562524.

425265120 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4252651202 = 361700844577228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425265121) 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 79 ways as a sum of consecutive naturals, for example, 10372300 + ... + 10372340.

It is an arithmetic number, because the mean of its divisors is an integer number (3705723).

Almost surely, 2425265120 is an apocalyptic number.

425265120 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 425265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889373520).

425265120 is an abundant number, since it is smaller than the sum of its proper divisors (1353481920).

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

425265120 is an equidigital number, since it uses as much as digits as its factorization.

425265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 425265120 is about 20621.9572300982. The cubic root of 425265120 is about 752.0036026687.

The spelling of 425265120 in words is "four hundred twenty-five million, two hundred sixty-five thousand, one hundred twenty".