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425870640 = 2432513173263
BaseRepresentation
bin11001011000100…
…100010100110000
31002200100110200200
4121120210110300
51333010330030
6110131515200
713360561236
oct3130442460
91080313620
10425870640
111a9435a08
12ba758b00
136a2cbb80
14407ba956
15275c3d60
hex19624530

425870640 has 240 divisors, whose sum is σ = 1555025472. Its totient is φ = 103827456.

The previous prime is 425870633. The next prime is 425870647. The reversal of 425870640 is 46078524.

425870640 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 7 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (425870633) and next prime (425870647).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 425870595 and 425870604.

It is not an unprimeable number, because it can be changed into a prime (425870647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1619149 + ... + 1619411.

Almost surely, 2425870640 is an apocalyptic number.

425870640 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 425870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777512736).

425870640 is an abundant number, since it is smaller than the sum of its proper divisors (1129154832).

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

425870640 is a wasteful number, since it uses less digits than its factorization.

425870640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 425870640 is about 20636.6334463740. The cubic root of 425870640 is about 752.3603505345.

The spelling of 425870640 in words is "four hundred twenty-five million, eight hundred seventy thousand, six hundred forty".