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6042768 = 243312131
BaseRepresentation
bin10111000011010010010000
3102101000010020
4113003102100
53021332033
6333303440
7102235254
oct27032220
912330106
106042768
113458026
122034b80
131337604
14b34264
157e56b3
hex5c3490

6042768 has 60 divisors (see below), whose sum is σ = 16253424. Its totient is φ = 1934400.

The previous prime is 6042763. The next prime is 6042781. The reversal of 6042768 is 8672406.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6042763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46063 + ... + 46193.

Almost surely, 26042768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6042768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126712).

6042768 is an abundant number, since it is smaller than the sum of its proper divisors (10210656).

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

6042768 is a wasteful number, since it uses less digits than its factorization.

6042768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6042768 is about 2458.2042225983. The cubic root of 6042768 is about 182.1427853463.

The spelling of 6042768 in words is "six million, forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 131 186 248 262 372 393 496 524 744 786 961 1048 1488 1572 1922 2096 2883 3144 3844 4061 5766 6288 7688 8122 11532 12183 15376 16244 23064 24366 32488 46128 48732 64976 97464 125891 194928 251782 377673 503564 755346 1007128 1510692 2014256 3021384 6042768