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43112052 = 223271101167
BaseRepresentation
bin1010010001110…
…1011001110100
310000010022121200
42210131121310
542014041202
64140012500
71032306054
oct244353164
9100108550
1043112052
11223767a5
1212531130
138c161b9
145a23564
153bb8e1c
hex291d674

43112052 has 72 divisors (see below), whose sum is σ = 112275072. Its totient is φ = 13944000.

The previous prime is 43111987. The next prime is 43112053. The reversal of 43112052 is 25021134.

43112052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43112053) 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 23 ways as a sum of consecutive naturals, for example, 258073 + ... + 258239.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 243112052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43112052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137536).

43112052 is an abundant number, since it is smaller than the sum of its proper divisors (69163020).

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

43112052 is a wasteful number, since it uses less digits than its factorization.

43112052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 43112052 is about 6565.9768504009. The cubic root of 43112052 is about 350.6438543056.

Adding to 43112052 its reverse (25021134), we get a palindrome (68133186).

The spelling of 43112052 in words is "forty-three million, one hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 101 142 167 202 213 284 303 334 404 426 501 606 639 668 852 909 1002 1212 1278 1503 1818 2004 2556 3006 3636 6012 7171 11857 14342 16867 21513 23714 28684 33734 35571 43026 47428 50601 64539 67468 71142 86052 101202 106713 129078 142284 151803 202404 213426 258156 303606 426852 607212 1197557 2395114 3592671 4790228 7185342 10778013 14370684 21556026 43112052