Search a number
-
+
2042894682 = 23511337199
BaseRepresentation
bin111100111000100…
…0001100101011010
312021101001210200000
41321301001211122
513140440112212
6534414153430
7101424214113
oct17161014532
95241053600
102042894682
11959185014
124901b2876
1326731562a
1415546320a
15be5371dc
hex79c4195a

2042894682 has 48 divisors (see below), whose sum is σ = 4630953600. Its totient is φ = 674920512.

The previous prime is 2042894671. The next prime is 2042894683. The reversal of 2042894682 is 2864982402.

It is a super-2 number, since 2×20428946822 = 8346837363487762248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2042894683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36319 + ... + 73517.

It is an arithmetic number, because the mean of its divisors is an integer number (96478200).

Almost surely, 22042894682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042894682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315476800).

2042894682 is an abundant number, since it is smaller than the sum of its proper divisors (2588058918).

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

2042894682 is a wasteful number, since it uses less digits than its factorization.

2042894682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37329 (or 37317 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2042894682 is about 45198.3924714143. The cubic root of 2042894682 is about 1268.8647308156.

The spelling of 2042894682 in words is "two billion, forty-two million, eight hundred ninety-four thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 243 339 486 678 1017 2034 3051 6102 9153 18306 27459 37199 54918 74398 111597 223194 334791 669582 1004373 2008746 3013119 4203487 6026238 8406974 9039357 12610461 18078714 25220922 37831383 75662766 113494149 226988298 340482447 680964894 1021447341 2042894682