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43968096 = 253416963
BaseRepresentation
bin1010011110111…
…0011001100000
310001201210220000
42213232121200
542223434341
64210220000
71042502604
oct247563140
9101653800
1043968096
1122900977
1212884600
139155a33
145ba7504
153cd78b6
hex29ee660

43968096 has 60 divisors (see below), whose sum is σ = 129316572. Its totient is φ = 14655168.

The previous prime is 43968079. The next prime is 43968097. The reversal of 43968096 is 69086934.

43968096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43968097) 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 9 ways as a sum of consecutive naturals, for example, 5890 + ... + 11073.

Almost surely, 243968096 is an apocalyptic number.

It is an amenable number.

43968096 is an abundant number, since it is smaller than the sum of its proper divisors (85348476).

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

43968096 is a wasteful number, since it uses less digits than its factorization.

43968096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16985 (or 16968 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 43968096 is about 6630.8442901338. The cubic root of 43968096 is about 352.9494854514.

The spelling of 43968096 in words is "forty-three million, nine hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 16963 33926 50889 67852 101778 135704 152667 203556 271408 305334 407112 458001 542816 610668 814224 916002 1221336 1374003 1628448 1832004 2442672 2748006 3664008 4885344 5496012 7328016 10992024 14656032 21984048 43968096