Search a number
-
+
2972645172 = 223273240739
BaseRepresentation
bin1011000100101110…
…1111011100110100
321200011120000120100
42301023233130310
522041444121142
61210550034100
7133444032000
oct26113573464
97604500510
102972645172
111295a87352
126ab648930
13384b27553
14202b25700
15125e8db4c
hexb12ef734

2972645172 has 72 divisors (see below), whose sum is σ = 8762936000. Its totient is φ = 849323664.

The previous prime is 2972645153. The next prime is 2972645173. The reversal of 2972645172 is 2715462792.

2972645172 is a `hidden beast` number, since 2 + 9 + 72 + 64 + 517 + 2 = 666.

It is a super-2 number, since 2×29726451722 = 17673238637229819168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972645173) 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, 108022 + ... + 132717.

Almost surely, 22972645172 is an apocalyptic number.

It is an amenable number.

2972645172 is an abundant number, since it is smaller than the sum of its proper divisors (5790290828).

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

2972645172 is a wasteful number, since it uses less digits than its factorization.

2972645172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240770 (or 240751 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2972645172 is about 54521.9696269311. The cubic root of 2972645172 is about 1437.8525688647.

The spelling of 2972645172 in words is "two billion, nine hundred seventy-two million, six hundred forty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 240739 481478 722217 962956 1444434 1685173 2166651 2888868 3370346 4333302 5055519 6740692 8666604 10111038 11796211 15166557 20222076 23592422 30333114 35388633 47184844 60666228 70777266 82573477 106165899 141554532 165146954 212331798 247720431 330293908 424663596 495440862 743161293 990881724 1486322586 2972645172