Search a number
-
+
39042440 = 2356116001
BaseRepresentation
bin1001010011101…
…1110110001000
32201110120011022
42110323312020
534443324230
63512452012
7652566233
oct224736610
981416138
1039042440
1120047188
12110aa008
13811ca48
14528441a
1536631e5
hex253bd88

39042440 has 32 divisors (see below), whose sum is σ = 89291160. Its totient is φ = 15360000.

The previous prime is 39042389. The next prime is 39042457. The reversal of 39042440 is 4424093.

39042440 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 4 ways, for example, as 27604516 + 11437924 = 5254^2 + 3382^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 5561 + ... + 10440.

Almost surely, 239042440 is an apocalyptic number.

It is an amenable number.

39042440 is an abundant number, since it is smaller than the sum of its proper divisors (50248720).

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

39042440 is a wasteful number, since it uses less digits than its factorization.

39042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16073 (or 16069 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 39042440 is about 6248.3949939164. The cubic root of 39042440 is about 339.2441108307.

The spelling of 39042440 in words is "thirty-nine million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 16001 32002 64004 80005 128008 160010 320020 640040 976061 1952122 3904244 4880305 7808488 9760610 19521220 39042440