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425617920 = 29325721329
BaseRepresentation
bin11001010111100…
…110101000000000
31002122212122000200
4121113212220000
51332424233140
6110122245200
713355456400
oct3127465000
91078778020
10425617920
111a9283052
12ba656800
136a240b30
1440752800
1527574030
hex195e6a00

425617920 has 720 divisors, whose sum is σ = 1910268360. Its totient is φ = 86704128.

The previous prime is 425617903. The next prime is 425617937. The reversal of 425617920 is 29716524.

425617920 is a `hidden beast` number, since 4 + 2 + 561 + 7 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (425617903) and next prime (425617937).

It can be written as a sum of positive squares in 4 ways, for example, as 271063296 + 154554624 = 16464^2 + 12432^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4256179202 = 362301227650252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14676466 + ... + 14676494.

Almost surely, 2425617920 is an apocalyptic number.

425617920 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 425617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955134180).

425617920 is an abundant number, since it is smaller than the sum of its proper divisors (1484650440).

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

425617920 is a wasteful number, since it uses less digits than its factorization.

425617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 425617920 is about 20630.5094459638. The cubic root of 425617920 is about 752.2114992852.

The spelling of 425617920 in words is "four hundred twenty-five million, six hundred seventeen thousand, nine hundred twenty".