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2482009446 = 237229328813
BaseRepresentation
bin1001001111110000…
…0111010101100110
320101222100010212210
42103330013111212
520040343300241
61050142024250
7115335506100
oct22374072546
96358303783
102482009446
111064036484
12593278086
133072a0857
141978ca570
15e7d75316
hex93f07566

2482009446 has 48 divisors (see below), whose sum is σ = 5794380144. Its totient is φ = 706700736.

The previous prime is 2482009427. The next prime is 2482009477. The reversal of 2482009446 is 6449002842.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71736 + ... + 100548.

It is an arithmetic number, because the mean of its divisors is an integer number (120716253).

Almost surely, 22482009446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2482009446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897190072).

2482009446 is an abundant number, since it is smaller than the sum of its proper divisors (3312370698).

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

2482009446 is a wasteful number, since it uses less digits than its factorization.

2482009446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29125 (or 29118 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2482009446 is about 49819.7696301378. The cubic root of 2482009446 is about 1353.9453758254.

The spelling of 2482009446 in words is "two billion, four hundred eighty-two million, nine thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 293 294 586 879 1758 2051 4102 6153 12306 14357 28714 28813 43071 57626 86142 86439 172878 201691 403382 605073 1210146 1411837 2823674 4235511 8442209 8471022 16884418 25326627 50653254 59095463 118190926 177286389 354572778 413668241 827336482 1241004723 2482009446