Search a number
-
+
2972700642 = 2323193239467
BaseRepresentation
bin1011000100101111…
…1100111111100010
321200011122211122210
42301023330333202
522042002410032
61210551142550
7133444352502
oct26113747742
97604584583
102972700642
111296014a9a
126ab674a56
13384b46882
14202b3ba02
15125ea02cc
hexb12fcfe2

2972700642 has 64 divisors (see below), whose sum is σ = 6275543040. Its totient is φ = 936950784.

The previous prime is 2972700641. The next prime is 2972700673. The reversal of 2972700642 is 2460072792.

It is a self number, because there is not a number n which added to its sum of digits gives 2972700642.

It is not an unprimeable number, because it can be changed into a prime (2972700641) 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 31 ways as a sum of consecutive naturals, for example, 6365293 + ... + 6365759.

It is an arithmetic number, because the mean of its divisors is an integer number (98055360).

Almost surely, 22972700642 is an apocalyptic number.

2972700642 is an abundant number, since it is smaller than the sum of its proper divisors (3302842398).

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

2972700642 is a wasteful number, since it uses less digits than its factorization.

2972700642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 2972700642 is about 54522.4783185798. The cubic root of 2972700642 is about 1437.8615123232.

The spelling of 2972700642 in words is "two billion, nine hundred seventy-two million, seven hundred thousand, six hundred forty-two".

Divisors: 1 2 3 6 23 46 69 138 193 239 386 467 478 579 717 934 1158 1401 1434 2802 4439 5497 8878 10741 10994 13317 16491 21482 26634 32223 32982 46127 64446 90131 92254 111613 138381 180262 223226 270393 276762 334839 540786 669678 1060921 2073013 2121842 2567099 3182763 4146026 5134198 6219039 6365526 7701297 12438078 15402594 21541309 43082618 64623927 129247854 495450107 990900214 1486350321 2972700642