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425834640 = 243257117681
BaseRepresentation
bin11001011000011…
…011100010010000
31002200021122022100
4121120123202100
51333003202030
6110131040400
713360351260
oct3130334220
91080248270
10425834640
111a9410960
12ba740100
136a2b867a
14407ab7a0
15275b8360
hex1961b890

425834640 has 240 divisors, whose sum is σ = 1783207296. Its totient is φ = 88473600.

The previous prime is 425834639. The next prime is 425834663. The reversal of 425834640 is 46438524.

425834640 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 3 + 4 + 640 = 666.

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

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 = 425834595 and 425834604.

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, 51600 + ... + 59280.

Almost surely, 2425834640 is an apocalyptic number.

425834640 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 425834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891603648).

425834640 is an abundant number, since it is smaller than the sum of its proper divisors (1357372656).

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

425834640 is a wasteful number, since it uses less digits than its factorization.

425834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 425834640 is about 20635.7611926481. The cubic root of 425834640 is about 752.3391502502.

The spelling of 425834640 in words is "four hundred twenty-five million, eight hundred thirty-four thousand, six hundred forty".