Search a number
-
+
609812064 = 25342353193
BaseRepresentation
bin100100010110001…
…111111001100000
31120111110122220000
4210112033321200
52222102441224
6140302220000
721053213511
oct4426177140
91514418800
10609812064
1129324a914
12150284600
1399452a54
145adbca08
153880a0c9
hex2458fe60

609812064 has 240 divisors, whose sum is σ = 1916605152. Its totient is φ = 189775872.

The previous prime is 609812057. The next prime is 609812081. The reversal of 609812064 is 460218906.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3159552 + ... + 3159744.

Almost surely, 2609812064 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 609812064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958302576).

609812064 is an abundant number, since it is smaller than the sum of its proper divisors (1306793088).

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

609812064 is a wasteful number, since it uses less digits than its factorization.

609812064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 609812064 is about 24694.3731242565. The cubic root of 609812064 is about 848.0055031089.

The spelling of 609812064 in words is "six hundred nine million, eight hundred twelve thousand, sixty-four".