Search a number
-
+
40332042 = 2322240669
BaseRepresentation
bin1001100111011…
…0101100001010
32210220002011100
42121312230022
540311111132
64000242230
7666550062
oct231665412
983802140
1040332042
1120848073
1211610376
138481a1a
1454dc3a2
15381a37c
hex2676b0a

40332042 has 12 divisors (see below), whose sum is σ = 87386130. Its totient is φ = 13444008.

The previous prime is 40332037. The next prime is 40332053. The reversal of 40332042 is 24023304.

40332042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38452401 + 1879641 = 6201^2 + 1371^2 .

It is a super-2 number, since 2×403320422 = 3253347223779528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2240669 = 40332042 / (4 + 0 + 3 + 3 + 2 + 0 + 4 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1120317 + ... + 1120352.

Almost surely, 240332042 is an apocalyptic number.

40332042 is an abundant number, since it is smaller than the sum of its proper divisors (47054088).

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

40332042 is a wasteful number, since it uses less digits than its factorization.

40332042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240677 (or 2240674 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 40332042 is about 6350.7512941384. The cubic root of 40332042 is about 342.9388892876.

Adding to 40332042 its reverse (24023304), we get a palindrome (64355346).

The spelling of 40332042 in words is "forty million, three hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 2240669 4481338 6722007 13444014 20166021 40332042