Search a number
-
+
43362132 = 22311674903
BaseRepresentation
bin1010010101101…
…0011101010100
310000121000122220
42211122131110
542100042012
64145222340
71034400132
oct245323524
9100530586
1043362132
1122527680
12126319b0
138ca2c88
145a8a752
153c1808c
hex295a754

43362132 has 48 divisors (see below), whose sum is σ = 112046592. Its totient is φ = 12941280.

The previous prime is 43362131. The next prime is 43362139. The reversal of 43362132 is 23126334.

43362132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43362131) 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, 6393 + ... + 11295.

It is an arithmetic number, because the mean of its divisors is an integer number (2334304).

Almost surely, 243362132 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 43362132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56023296).

43362132 is an abundant number, since it is smaller than the sum of its proper divisors (68684460).

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

43362132 is a wasteful number, since it uses less digits than its factorization.

43362132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4986 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 43362132 is about 6584.9929384928. The cubic root of 43362132 is about 351.3205406212.

Adding to 43362132 its reverse (23126334), we get a palindrome (66488466).

The spelling of 43362132 in words is "forty-three million, three hundred sixty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2948 4422 4903 8844 9806 14709 19612 29418 53933 58836 107866 161799 215732 323598 328501 647196 657002 985503 1314004 1971006 3613511 3942012 7227022 10840533 14454044 21681066 43362132