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4993072 = 247109409
BaseRepresentation
bin10011000011000000110000
3100101200012121
4103003000300
52234234242
6255004024
760304030
oct23030060
910350177
104993072
112900407
121809614
13105a8a6
1493d8c0
15689667
hex4c3030

4993072 has 40 divisors (see below), whose sum is σ = 11184800. Its totient is φ = 2115072.

The previous prime is 4993061. The next prime is 4993097. The reversal of 4993072 is 2703994.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12004 + ... + 12412.

It is an arithmetic number, because the mean of its divisors is an integer number (279620).

Almost surely, 24993072 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 4993072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592400).

4993072 is an abundant number, since it is smaller than the sum of its proper divisors (6191728).

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

4993072 is a wasteful number, since it uses less digits than its factorization.

4993072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 4993072 is about 2234.5182926081. The cubic root of 4993072 is about 170.9185800732.

The spelling of 4993072 in words is "four million, nine hundred ninety-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 409 436 763 818 872 1526 1636 1744 2863 3052 3272 5726 6104 6544 11452 12208 22904 44581 45808 89162 178324 312067 356648 624134 713296 1248268 2496536 4993072