Search a number
-
+
4242472 = 2313192113
BaseRepresentation
bin10000001011110000101000
321222112120121
4100023300220
52041224342
6230533024
751026503
oct20136050
97875517
104242472
112438483
121507174
13b57050
147c613a
1558c067
hex40bc28

4242472 has 48 divisors (see below), whose sum is σ = 9121140. Its totient is φ = 1838592.

The previous prime is 4242461. The next prime is 4242473. The reversal of 4242472 is 2742424.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3189796 + 1052676 = 1786^2 + 1026^2 .

It is not an unprimeable number, because it can be changed into a prime (4242473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37488 + ... + 37600.

Almost surely, 24242472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560570).

4242472 is an abundant number, since it is smaller than the sum of its proper divisors (4878668).

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

4242472 is a wasteful number, since it uses less digits than its factorization.

4242472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its digits is 3584, while the sum is 25.

The square root of 4242472 is about 2059.7261953959. The cubic root of 4242472 is about 161.8848951182.

Adding to 4242472 its reverse (2742424), we get a palindrome (6984896).

The spelling of 4242472 in words is "four million, two hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 113 152 226 247 361 452 494 722 904 988 1444 1469 1976 2147 2888 2938 4294 4693 5876 8588 9386 11752 17176 18772 27911 37544 40793 55822 81586 111644 163172 223288 326344 530309 1060618 2121236 4242472