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42124332 = 2239773593
BaseRepresentation
bin1010000010110…
…0010000101100
32221021010201110
42200230100230
541240434312
64102512020
71021023315
oct240542054
987233643
1042124332
11218616a8
1212135610
13895b753
14584760c
153a7143c
hex282c42c

42124332 has 24 divisors (see below), whose sum is σ = 98418096. Its totient is φ = 14023168.

The previous prime is 42124309. The next prime is 42124333. The reversal of 42124332 is 23342124.

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 = 42124299 and 42124308.

It is not an unprimeable number, because it can be changed into a prime (42124333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9928 + ... + 13520.

It is an arithmetic number, because the mean of its divisors is an integer number (4100754).

Almost surely, 242124332 is an apocalyptic number.

It is an amenable number.

42124332 is an abundant number, since it is smaller than the sum of its proper divisors (56293764).

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

42124332 is a wasteful number, since it uses less digits than its factorization.

42124332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4575 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 42124332 is about 6490.3260318724. The cubic root of 42124332 is about 347.9453276511.

Adding to 42124332 its reverse (23342124), we get a palindrome (65466456).

It can be divided in two parts, 421 and 24332, that added together give a triangular number (24753 = T222).

The spelling of 42124332 in words is "forty-two million, one hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 977 1954 2931 3593 3908 5862 7186 10779 11724 14372 21558 43116 3510361 7020722 10531083 14041444 21062166 42124332