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242848242 = 232713374007
BaseRepresentation
bin11100111100110…
…01000111110010
3121220221222011100
432132121013302
5444132120432
640033025230
76006114240
oct1636310762
9556858140
10242848242
1111509952a
12693b5216
133b40a3b0
1424377790
15164c007c
hexe7991f2

242848242 has 96 divisors (see below), whose sum is σ = 665263872. Its totient is φ = 62301312.

The previous prime is 242848241. The next prime is 242848261.

It is a happy number.

242848242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242848197 and 242848206.

It is not an unprimeable number, because it can be changed into a prime (242848241) 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, 58603 + ... + 62609.

It is an arithmetic number, because the mean of its divisors is an integer number (6929832).

Almost surely, 2242848242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242848242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332631936).

242848242 is an abundant number, since it is smaller than the sum of its proper divisors (422415630).

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

242848242 is a wasteful number, since it uses less digits than its factorization.

242848242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4069 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 242848242 is about 15583.5888677801. The cubic root of 242848242 is about 623.8952147767.

The spelling of 242848242 in words is "two hundred forty-two million, eight hundred forty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 91 111 117 126 182 222 234 259 273 333 481 518 546 666 777 819 962 1443 1554 1638 2331 2886 3367 4007 4329 4662 6734 8014 8658 10101 12021 20202 24042 28049 30303 36063 52091 56098 60606 72126 84147 104182 148259 156273 168294 252441 296518 312546 364637 444777 468819 504882 729274 889554 937638 1037813 1093911 1334331 1927367 2075626 2187822 2668662 3113439 3281733 3854734 5782101 6226878 6563466 9340317 11564202 13491569 17346303 18680634 26983138 34692606 40474707 80949414 121424121 242848242