Search a number
-
+
39804961 = 731533461
BaseRepresentation
bin1001011111011…
…0000000100001
32202220022010211
42113312000201
540142224321
63541054121
7662223310
oct227660041
982808124
1039804961
1120518069
12113b7341
138328b41
145402277
1537640e1
hex25f6021

39804961 has 16 divisors (see below), whose sum is σ = 47858688. Its totient is φ = 32385600.

The previous prime is 39804953. The next prime is 39804967. The reversal of 39804961 is 16940893.

It is a cyclic number.

It is not a de Polignac number, because 39804961 - 23 = 39804953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39804967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9771 + ... + 13231.

It is an arithmetic number, because the mean of its divisors is an integer number (2991168).

Almost surely, 239804961 is an apocalyptic number.

39804961 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

39804961 is a deficient number, since it is larger than the sum of its proper divisors (8053727).

39804961 is a wasteful number, since it uses less digits than its factorization.

39804961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552.

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 39804961 is about 6309.1172916661. The cubic root of 39804961 is about 341.4384301066.

The spelling of 39804961 in words is "thirty-nine million, eight hundred four thousand, nine hundred sixty-one".

Divisors: 1 7 31 53 217 371 1643 3461 11501 24227 107291 183433 751037 1284031 5686423 39804961