Search a number
-
+
542468640 = 25357179497
BaseRepresentation
bin100000010101010…
…110101000100000
31101210202021002010
4200111112220200
52102332444030
6125454552520
716304623140
oct4025265040
91353667063
10542468640
1125923379a
12131808740
138850447c
145208c920
15329566b0
hex20556a20

542468640 has 192 divisors, whose sum is σ = 2067980544. Its totient is φ = 116686848.

The previous prime is 542468609. The next prime is 542468651. The reversal of 542468640 is 46864245.

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, 52372 + ... + 61868.

It is an arithmetic number, because the mean of its divisors is an integer number (10770732).

Almost surely, 2542468640 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 542468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033990272).

542468640 is an abundant number, since it is smaller than the sum of its proper divisors (1525511904).

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

542468640 is a wasteful number, since it uses less digits than its factorization.

542468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9539 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 542468640 is about 23290.9561847512. The cubic root of 542468640 is about 815.5643098953.

The spelling of 542468640 in words is "five hundred forty-two million, four hundred sixty-eight thousand, six hundred forty".