Search a number
-
+
242484242 = 272114132
BaseRepresentation
bin11100111010000…
…00010000010010
3121220021110211212
432131000100102
5444033443432
640021140122
76003040100
oct1635002022
9556243755
10242484242
11114970000
126925a642
133b310800
14242c0c70
151644c2b2
hexe740412

242484242 has 90 divisors (see below), whose sum is σ = 503973765. Its totient is φ = 87207120.

The previous prime is 242484197. The next prime is 242484271.

Added to its reverse (242484242) it gives a square (484968484 = 220222).

242484242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 207331201 + 35153041 = 14399^2 + 5929^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11011.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242484199 and 242484208.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18652628 + ... + 18652640.

Almost surely, 2242484242 is an apocalyptic number.

242484242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242484242 is an abundant number, since it is smaller than the sum of its proper divisors (261489523).

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

242484242 is an equidigital number, since it uses as much as digits as its factorization.

242484242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 33 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

The square root of 242484242 is about 15571.9055352901. The cubic root of 242484242 is about 623.5833445391.

Multiplying 242484242 by its sum of digits (32), we get a square (7759495744 = 880882).

Multiplying 242484242 by its product of digits (32768), we get a square (7945723641856 = 28188162).

It can be divided in two parts, 242 and 484242, that added together give a palindrome (484484).

The spelling of 242484242 in words is "two hundred forty-two million, four hundred eighty-four thousand, two hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 169 182 242 286 338 539 637 847 1001 1078 1183 1274 1331 1573 1694 1859 2002 2366 2662 3146 3718 5929 7007 8281 9317 11011 11858 13013 14014 14641 16562 17303 18634 20449 22022 26026 29282 34606 40898 65219 77077 91091 102487 121121 130438 143143 154154 182182 190333 204974 224939 242242 286286 380666 449878 717409 847847 1002001 1332331 1434818 1574573 1695694 2004002 2474329 2664662 3149146 4948658 9326317 11022011 17320303 18652634 22044022 34640606 121242121 242484242