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425141568 = 26331923563
BaseRepresentation
bin11001010101110…
…010010101000000
31002121222102121000
4121111302111000
51332314012233
6110104132000
713351433535
oct3125622500
91077872530
10425141568
111a8a88175
12ba467000
136a105077
144066ad8c
15274ccd13
hex19572540

425141568 has 224 divisors, whose sum is σ = 1375257600. Its totient is φ = 128189952.

The previous prime is 425141543. The next prime is 425141569. The reversal of 425141568 is 865141524.

It is a happy number.

425141568 is a `hidden beast` number, since 4 + 2 + 51 + 41 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425141569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754855 + ... + 755417.

Almost surely, 2425141568 is an apocalyptic number.

425141568 is a gapful number since it is divisible by the number (48) 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 425141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687628800).

425141568 is an abundant number, since it is smaller than the sum of its proper divisors (950116032).

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

425141568 is a wasteful number, since it uses less digits than its factorization.

425141568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 610 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 425141568 is about 20618.9613705443. The cubic root of 425141568 is about 751.9307692416.

The spelling of 425141568 in words is "four hundred twenty-five million, one hundred forty-one thousand, five hundred sixty-eight".