Search a number
-
+
2042624420 = 225241423781
BaseRepresentation
bin111100110111111…
…1111100110100100
312021100120001221022
41321233333212210
513140402440140
6534404310312
7101422010144
oct17157774644
95240501838
102042624420
1195900aa61
124900a2398
1326724c605
141553d2924
15be4d20b5
hex79bff9a4

2042624420 has 24 divisors (see below), whose sum is σ = 4307320248. Its totient is φ = 813657600.

The previous prime is 2042624407. The next prime is 2042624447. The reversal of 2042624420 is 244262402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 444703744 + 1597920676 = 21088^2 + 39974^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2042624420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207071 + ... + 216710.

It is an arithmetic number, because the mean of its divisors is an integer number (179471677).

Almost surely, 22042624420 is an apocalyptic number.

2042624420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042624420 is an abundant number, since it is smaller than the sum of its proper divisors (2264695828).

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

2042624420 is a wasteful number, since it uses less digits than its factorization.

2042624420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424031 (or 424029 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2042624420 is about 45195.4026423042. The cubic root of 2042624420 is about 1268.8087740979.

Adding to 2042624420 its reverse (244262402), we get a palindrome (2286886822).

The spelling of 2042624420 in words is "two billion, forty-two million, six hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 423781 847562 1695124 2118905 4237810 8475620 102131221 204262442 408524884 510656105 1021312210 2042624420