Search a number
-
+
4032760064 = 28143310993
BaseRepresentation
bin1111000001011111…
…0000100100000000
3101102001100102210212
43300113300210000
531224341310224
61504100013252
7201635615654
oct36027604400
911361312725
104032760064
11178a42a363
12946691228
134c3651a78
142a3840a64
15189096d0e
hexf05f0900

4032760064 has 36 divisors (see below), whose sum is σ = 8056117356. Its totient is φ = 2014789632.

The previous prime is 4032760063. The next prime is 4032760073. The reversal of 4032760064 is 4600672304.

It can be written as a sum of positive squares in 2 ways, for example, as 2007040000 + 2025720064 = 44800^2 + 45008^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4032760064.

It is not an unprimeable number, because it can be changed into a prime (4032760063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 361352 + ... + 372344.

Almost surely, 24032760064 is an apocalyptic number.

It is an amenable number.

4032760064 is a deficient number, since it is larger than the sum of its proper divisors (4023357292).

4032760064 is a wasteful number, since it uses less digits than its factorization.

4032760064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 4032760064 is about 63504.0161249665. The cubic root of 4032760064 is about 1591.7228880567.

The spelling of 4032760064 in words is "four billion, thirty-two million, seven hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 1433 2866 5732 10993 11464 21986 22928 43972 45856 87944 91712 175888 183424 351776 366848 703552 1407104 2814208 15752969 31505938 63011876 126023752 252047504 504095008 1008190016 2016380032 4032760064