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39813969 = 3131676113
BaseRepresentation
bin1001011111100…
…0001101010001
32202220202111110
42113320031101
540143021334
63541203533
7662261466
oct227701521
982822443
1039813969
1120523908
12114005a9
13832cc80
14540566d
153766ae9
hex25f8351

39813969 has 16 divisors (see below), whose sum is σ = 57520512. Its totient is φ = 24350208.

The previous prime is 39813953. The next prime is 39813973. The reversal of 39813969 is 96931893.

It is a happy number.

39813969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39813969 - 24 = 39813953 is a prime.

It is a super-3 number, since 3×398139693 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (39813919) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3457 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (3595032).

Almost surely, 239813969 is an apocalyptic number.

39813969 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

39813969 is a deficient number, since it is larger than the sum of its proper divisors (17706543).

39813969 is a wasteful number, since it uses less digits than its factorization.

39813969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296.

The product of its digits is 314928, while the sum is 48.

The square root of 39813969 is about 6309.8311387865. The cubic root of 39813969 is about 341.4641843955.

The spelling of 39813969 in words is "thirty-nine million, eight hundred thirteen thousand, nine hundred sixty-nine".

Divisors: 1 3 13 39 167 501 2171 6113 6513 18339 79469 238407 1020871 3062613 13271323 39813969