Search a number
-
+
42248232 = 23321345137
BaseRepresentation
bin1010000100101…
…0100000101000
32221111102200100
42201022200220
541303420412
64105305400
71022050455
oct241124050
987442610
1042248232
11219367a4
1212195260
1389a2c70
14587a82c
153a97edc
hex284a828

42248232 has 48 divisors (see below), whose sum is σ = 123226740. Its totient is φ = 12999168.

The previous prime is 42248203. The next prime is 42248233. The reversal of 42248232 is 23284224.

42248232 is a `hidden beast` number, since 422 + 4 + 8 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35928036 + 6320196 = 5994^2 + 2514^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42248196 and 42248205.

It is not an unprimeable number, because it can be changed into a prime (42248233) 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, 21633 + ... + 23504.

Almost surely, 242248232 is an apocalyptic number.

It is an amenable number.

42248232 is an abundant number, since it is smaller than the sum of its proper divisors (80978508).

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

42248232 is a wasteful number, since it uses less digits than its factorization.

42248232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45162 (or 45155 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42248232 is about 6499.8639985772. The cubic root of 42248232 is about 348.2861301136.

The spelling of 42248232 in words is "forty-two million, two hundred forty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 45137 90274 135411 180548 270822 361096 406233 541644 586781 812466 1083288 1173562 1624932 1760343 2347124 3249864 3520686 4694248 5281029 7041372 10562058 14082744 21124116 42248232