Search a number
-
+
6042896640 = 2832511431109
BaseRepresentation
bin1011010000010111…
…10100100100000000
3120121010202221210200
411220023310210000
544333440143030
62435344125200
7302514526314
oct55013644400
916533687720
106042896640
11262106a760
121207906800
13753c37bb1
144147b7b44
152557acd60
hex1682f4900

6042896640 has 432 divisors, whose sum is σ = 23359976640. Its totient is φ = 1429585920.

The previous prime is 6042896617. The next prime is 6042896641. The reversal of 6042896640 is 466982406.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6042896641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5448406 + ... + 5449514.

It is an arithmetic number, because the mean of its divisors is an integer number (54074020).

Almost surely, 26042896640 is an apocalyptic number.

6042896640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6042896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11679988320).

6042896640 is an abundant number, since it is smaller than the sum of its proper divisors (17317080000).

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

6042896640 is a wasteful number, since it uses less digits than its factorization.

6042896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6042896640 is about 77736.0703920645. The cubic root of 6042896640 is about 1821.4407783792.

The spelling of 6042896640 in words is "six billion, forty-two million, eight hundred ninety-six thousand, six hundred forty".