Search a number
-
+
424142424 = 233222512617
BaseRepresentation
bin11001010001111…
…110011001011000
31002120002200000200
4121101332121120
51332040024144
6110030502200
713340102556
oct3121763130
91076080020
10424142424
111a8465532
12ba064960
1369b45364
144048abd6
1527381c69
hex1947e658

424142424 has 48 divisors (see below), whose sum is σ = 1149668520. Its totient is φ = 141264000.

The previous prime is 424142419. The next prime is 424142441. The reversal of 424142424 is 424241424.

424142424 is a `hidden beast` number, since 4 + 2 + 414 + 242 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160764 + ... + 163380.

Almost surely, 2424142424 is an apocalyptic number.

It is an amenable number.

424142424 is an abundant number, since it is smaller than the sum of its proper divisors (725526096).

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

424142424 is a wasteful number, since it uses less digits than its factorization.

424142424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4873 counting only the distinct ones).

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

The square root of 424142424 is about 20594.7183520436. The cubic root of 424142424 is about 751.3412586039.

Adding to 424142424 its reverse (424241424), we get a palindrome (848383848).

It can be divided in two parts, 4241 and 42424, that added together give a triangular number (46665 = T305).

The spelling of 424142424 in words is "four hundred twenty-four million, one hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2251 2617 4502 5234 6753 7851 9004 10468 13506 15702 18008 20259 20936 23553 27012 31404 40518 47106 54024 62808 81036 94212 162072 188424 5890867 11781734 17672601 23563468 35345202 47126936 53017803 70690404 106035606 141380808 212071212 424142424