Search a number
-
+
64115792 = 2413308249
BaseRepresentation
bin1111010010010…
…1010001010000
311110122102022222
43310211101100
5112403201132
610210120212
71405655336
oct364452120
9143572288
1064115792
1133212164
1219580068
131038b450
14872db56
155967412
hex3d25450

64115792 has 20 divisors (see below), whose sum is σ = 133780500. Its totient is φ = 29591808.

The previous prime is 64115771. The next prime is 64115797. The reversal of 64115792 is 29751146.

It can be written as a sum of positive squares in 2 ways, for example, as 7203856 + 56911936 = 2684^2 + 7544^2 .

It is a super-2 number, since 2×641157922 = 8221669567574528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64115797) 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 3 ways as a sum of consecutive naturals, for example, 153917 + ... + 154332.

It is an arithmetic number, because the mean of its divisors is an integer number (6689025).

Almost surely, 264115792 is an apocalyptic number.

It is an amenable number.

64115792 is an abundant number, since it is smaller than the sum of its proper divisors (69664708).

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

64115792 is a wasteful number, since it uses less digits than its factorization.

64115792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308270 (or 308264 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 64115792 is about 8007.2337295723. The cubic root of 64115792 is about 400.2410879956.

The spelling of 64115792 in words is "sixty-four million, one hundred fifteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 308249 616498 1232996 2465992 4007237 4931984 8014474 16028948 32057896 64115792