Search a number
-
+
425938968 = 2332721337251
BaseRepresentation
bin11001011000110…
…101000000011000
31002200110221102100
4121120311000120
51333020021333
6110133203400
713361264400
oct3130650030
91080427370
10425938968
111a9482284
12ba790560
136a323cc0
14407d7800
15275d9213
hex19635018

425938968 has 288 divisors, whose sum is σ = 1490121360. Its totient is φ = 108864000.

The previous prime is 425938967. The next prime is 425938969. The reversal of 425938968 is 869839524.

425938968 is a `hidden beast` number, since 4 + 259 + 389 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (425938967) and next prime (425938969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425938967) 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 71 ways as a sum of consecutive naturals, for example, 1696843 + ... + 1697093.

Almost surely, 2425938968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425938968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745060680).

425938968 is an abundant number, since it is smaller than the sum of its proper divisors (1064182392).

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

425938968 is a wasteful number, since it uses less digits than its factorization.

425938968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 313 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 425938968 is about 20638.2888825600. The cubic root of 425938968 is about 752.4005853884.

The spelling of 425938968 in words is "four hundred twenty-five million, nine hundred thirty-eight thousand, nine hundred sixty-eight".