Search a number
-
+
425792640 = 27357132437
BaseRepresentation
bin11001011000010…
…001010010000000
31002200012111200210
4121120101102000
51333000331030
6110130114120
713360114650
oct3130212200
91080174623
10425792640
111a9392349
12ba71b940
136a2a2510
144079a360
15275aabb0
hex19611480

425792640 has 256 divisors, whose sum is σ = 1671102720. Its totient is φ = 89800704.

The previous prime is 425792623. The next prime is 425792651. The reversal of 425792640 is 46297524.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173502 + ... + 175938.

It is an arithmetic number, because the mean of its divisors is an integer number (6527745).

Almost surely, 2425792640 is an apocalyptic number.

425792640 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 425792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835551360).

425792640 is an abundant number, since it is smaller than the sum of its proper divisors (1245310080).

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

425792640 is a wasteful number, since it uses less digits than its factorization.

425792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 425792640 is about 20634.7435167002. The cubic root of 425792640 is about 752.3144150751.

The spelling of 425792640 in words is "four hundred twenty-five million, seven hundred ninety-two thousand, six hundred forty".