Search a number
-
+
425791520 = 2557111719107
BaseRepresentation
bin11001011000010…
…001000000100000
31002200012110011022
4121120101000200
51333000312040
6110130105012
713360111460
oct3130210040
91080173138
10425791520
111a9391520
12ba71b168
136a2a1b5b
1440799ba0
15275aa6b5
hex19611020

425791520 has 384 divisors, whose sum is σ = 1410877440. Its totient is φ = 117227520.

The previous prime is 425791507. The next prime is 425791549. The reversal of 425791520 is 25197524.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3979307 + ... + 3979413.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2425791520 is an apocalyptic number.

425791520 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 425791520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705438720).

425791520 is an abundant number, since it is smaller than the sum of its proper divisors (985085920).

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

425791520 is a wasteful number, since it uses less digits than its factorization.

425791520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 425791520 is about 20634.7163779878. The cubic root of 425791520 is about 752.3137554482.

The spelling of 425791520 in words is "four hundred twenty-five million, seven hundred ninety-one thousand, five hundred twenty".