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2042386392 = 233173125209
BaseRepresentation
bin111100110111100…
…0101011111011000
312021100002222102110
41321233011133120
513140322331032
6534355232320
7101416666164
oct17157053730
95240088373
102042386392
11958968142
1248bba86a0
13267198177
1415536dca4
15be4867cc
hex79bc57d8

2042386392 has 96 divisors (see below), whose sum is σ = 5587412400. Its totient is φ = 619960320.

The previous prime is 2042386391. The next prime is 2042386403. The reversal of 2042386392 is 2936832402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042386392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042386391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389484 + ... + 394692.

Almost surely, 22042386392 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 2042386392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793706200).

2042386392 is an abundant number, since it is smaller than the sum of its proper divisors (3545026008).

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

2042386392 is a wasteful number, since it uses less digits than its factorization.

2042386392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2042386392 is about 45192.7692446480. The cubic root of 2042386392 is about 1268.7594872191.

The spelling of 2042386392 in words is "two billion, forty-two million, three hundred eighty-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 961 1054 1581 1922 2108 2883 3162 3844 4216 5209 5766 6324 7688 10418 11532 12648 15627 16337 20836 23064 31254 32674 41672 49011 62508 65348 88553 98022 125016 130696 161479 177106 196044 265659 322958 354212 392088 484437 531318 645916 708424 968874 1062636 1291832 1937748 2125272 2745143 3875496 5005849 5490286 8235429 10011698 10980572 15017547 16470858 20023396 21961144 30035094 32941716 40046792 60070188 65883432 85099433 120140376 170198866 255298299 340397732 510596598 680795464 1021193196 2042386392