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43968040 = 2352414561
BaseRepresentation
bin1010011110111…
…0011000101000
310001201210210221
42213232120220
542223434130
64210215424
71042502464
oct247563050
9101653727
1043968040
1122900926
1212884574
1391559bc
145ba74a4
153cd787a
hex29ee628

43968040 has 32 divisors (see below), whose sum is σ = 99360360. Its totient is φ = 17510400.

The previous prime is 43968011. The next prime is 43968079. The reversal of 43968040 is 4086934.

43968040 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 36796356 + 7171684 = 6066^2 + 2678^2 .

It is a super-3 number, since 3×439680403 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 43967987 and 43968005.

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, 7360 + ... + 11920.

Almost surely, 243968040 is an apocalyptic number.

43968040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43968040 is an abundant number, since it is smaller than the sum of its proper divisors (55392320).

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

43968040 is a wasteful number, since it uses less digits than its factorization.

43968040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 43968040 is about 6630.8400674424. The cubic root of 43968040 is about 352.9493356066.

The spelling of 43968040 in words is "forty-three million, nine hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1928 2410 4561 4820 9122 9640 18244 22805 36488 45610 91220 182440 1099201 2198402 4396804 5496005 8793608 10992010 21984020 43968040