Search a number
-
+
2642244057 = 34172412753
BaseRepresentation
bin1001110101111101…
…0111000111011001
320211010211220110000
42131133113013121
520402403302212
61114104243213
7122322463305
oct23537270731
96733756400
102642244057
111136529082
12618a70509
1333154402b
141b0cbad05
15106e771dc
hex9d7d71d9

2642244057 has 60 divisors (see below), whose sum is σ = 4296719196. Its totient is φ = 1616855040.

The previous prime is 2642244047. The next prime is 2642244067. The reversal of 2642244057 is 7504422462.

2642244057 is a `hidden beast` number, since 2 + 642 + 2 + 4 + 4 + 0 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (2642244047) and next prime (2642244067).

It can be written as a sum of positive squares in 6 ways, for example, as 191102976 + 2451141081 = 13824^2 + 49509^2 .

It is not a de Polignac number, because 2642244057 - 24 = 2642244041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2642244047) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 958393 + ... + 961145.

Almost surely, 22642244057 is an apocalyptic number.

2642244057 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2642244057 is a deficient number, since it is larger than the sum of its proper divisors (1654475139).

2642244057 is a wasteful number, since it uses less digits than its factorization.

2642244057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2642244057 is about 51402.7631261200. The cubic root of 2642244057 is about 1382.4761356948.

The spelling of 2642244057 in words is "two billion, six hundred forty-two million, two hundred forty-four thousand, fifty-seven".

Divisors: 1 3 9 17 27 41 51 81 123 153 289 369 459 697 867 1107 1377 2091 2601 2753 3321 6273 7803 8259 11849 18819 23409 24777 35547 46801 56457 74331 106641 112873 140403 222993 319923 338619 421209 795617 959769 1015857 1263627 1918841 2386851 3047571 3790881 5756523 7160553 9142713 17269569 21481659 32620297 51808707 64444977 97860891 155426121 293582673 880748019 2642244057