Search a number
-
+
6402060432 = 243244458753
BaseRepresentation
bin1011111011001011…
…11011000010010000
3121112011121100220100
411331211323002100
5101102411413212
62535134212400
7314435421135
oct57545730220
917464540810
106402060432
112795883839
1212a8054100
137b047c151
1444a38c58c
152770a6bdc
hex17d97b090

6402060432 has 30 divisors (see below), whose sum is σ = 17916877862. Its totient is φ = 2134020096.

The previous prime is 6402060403. The next prime is 6402060439. The reversal of 6402060432 is 2340602046.

6402060432 is a `hidden beast` number, since 6 + 4 + 0 + 20 + 604 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5549654016 + 852406416 = 74496^2 + 29196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6402060396 and 6402060405.

It is not an unprimeable number, because it can be changed into a prime (6402060439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22229233 + ... + 22229520.

Almost surely, 26402060432 is an apocalyptic number.

It is an amenable number.

6402060432 is an abundant number, since it is smaller than the sum of its proper divisors (11514817430).

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

6402060432 is a wasteful number, since it uses less digits than its factorization.

6402060432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44458767 (or 44458758 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6402060432 is about 80012.8766636971. The cubic root of 6402060432 is about 1856.8347553624.

Adding to 6402060432 its reverse (2340602046), we get a palindrome (8742662478).

The spelling of 6402060432 in words is "six billion, four hundred two million, sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 44458753 88917506 133376259 177835012 266752518 355670024 400128777 533505036 711340048 800257554 1067010072 1600515108 2134020144 3201030216 6402060432