Search a number
-
+
2424442041 = 32727177431
BaseRepresentation
bin1001000010000010…
…0000110010111001
320020222000102020200
42100200200302321
514431124121131
61040324112413
7114036263100
oct22040406271
96228012220
102424442041
11103459720a
12577b35709
132c8395bb8
1418ddc3037
15e2ca32e6
hex90820cb9

2424442041 has 36 divisors (see below), whose sum is σ = 4131152064. Its totient is φ = 1365865200.

The previous prime is 2424442037. The next prime is 2424442043. The reversal of 2424442041 is 1402444242.

It is not a de Polignac number, because 2424442041 - 22 = 2424442037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2424441996 and 2424442014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424442043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7405 + ... + 70026.

It is an arithmetic number, because the mean of its divisors is an integer number (114754224).

Almost surely, 22424442041 is an apocalyptic number.

2424442041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2424442041 is a deficient number, since it is larger than the sum of its proper divisors (1706710023).

2424442041 is a wasteful number, since it uses less digits than its factorization.

2424442041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77522 (or 77512 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2424442041 is about 49238.6234677616. The cubic root of 2424442041 is about 1343.3956429928.

Adding to 2424442041 its reverse (1402444242), we get a palindrome (3826886283).

The spelling of 2424442041 in words is "two billion, four hundred twenty-four million, four hundred forty-two thousand, forty-one".

Divisors: 1 3 7 9 21 49 63 71 147 213 441 497 639 1491 3479 4473 10437 31311 77431 232293 542017 696879 1626051 3794119 4878153 5497601 11382357 16492803 34147071 38483207 49478409 115449621 269382449 346348863 808147347 2424442041