Search a number
-
+
64137025 = 523178093
BaseRepresentation
bin1111010010101…
…0011101000001
311110200111110101
43310222131001
5112404341100
610210402401
71406104261
oct364523501
9143614411
1064137025
1133227107
1219590401
1310398004
1487377a1
15596d86a
hex3d2a741

64137025 has 12 divisors (see below), whose sum is σ = 79790652. Its totient is φ = 51141440.

The previous prime is 64137013. The next prime is 64137083. The reversal of 64137025 is 52073146.

64137025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11950849 + 52186176 = 3457^2 + 7224^2 .

It is not a de Polignac number, because 64137025 - 25 = 64136993 is a prime.

It is a super-2 number, since 2×641370252 = 8227115951701250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 64136984 and 64137002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3879 + ... + 11971.

It is an arithmetic number, because the mean of its divisors is an integer number (6649221).

Almost surely, 264137025 is an apocalyptic number.

It is an amenable number.

64137025 is a deficient number, since it is larger than the sum of its proper divisors (15653627).

64137025 is a wasteful number, since it uses less digits than its factorization.

64137025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8415 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 64137025 is about 8008.5594834527. The cubic root of 64137025 is about 400.2852652610.

The spelling of 64137025 in words is "sixty-four million, one hundred thirty-seven thousand, twenty-five".

Divisors: 1 5 25 317 1585 7925 8093 40465 202325 2565481 12827405 64137025