Search a number
-
+
2490588417 = 317259181269
BaseRepresentation
bin1001010001110011…
…0101110100000001
320102120111000000110
42110130311310001
520100042312132
61051045541533
7115501436502
oct22434656401
96376430013
102490588417
111068965a39
125961148a9
13308cb5675
14198ac0ba9
15e89bc1cc
hex94735d01

2490588417 has 48 divisors (see below), whose sum is σ = 3620635200. Its totient is φ = 1522068480.

The previous prime is 2490588407. The next prime is 2490588433. The reversal of 2490588417 is 7148850942.

It is a happy number.

It is not a de Polignac number, because 2490588417 - 220 = 2489539841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2490588407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9258559 + ... + 9258827.

It is an arithmetic number, because the mean of its divisors is an integer number (75429900).

Almost surely, 22490588417 is an apocalyptic number.

It is an amenable number.

2490588417 is a deficient number, since it is larger than the sum of its proper divisors (1130046783).

2490588417 is a wasteful number, since it uses less digits than its factorization.

2490588417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 2490588417 is about 49905.7954249805. The cubic root of 2490588417 is about 1355.5035354820.

The spelling of 2490588417 in words is "two billion, four hundred ninety million, five hundred eighty-eight thousand, four hundred seventeen".

Divisors: 1 3 17 51 59 177 181 269 289 543 807 867 1003 3009 3077 4573 9231 10679 13719 15871 17051 32037 47613 48689 51153 52309 77741 146067 156927 181543 233223 269807 544629 809421 827713 2483139 2872651 3086231 4586719 8617953 9258693 13760157 14071121 42213363 48835067 146505201 830196139 2490588417