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43140032 = 2613192729
BaseRepresentation
bin1010010010010…
…0001111000000
310000011201222222
42210210033000
542020440112
64140350212
71032453455
oct244441700
9100151888
1043140032
1122395821
1212545368
138c25b60
145a2d82c
153bc2372
hex29243c0

43140032 has 56 divisors (see below), whose sum is σ = 97078800. Its totient is φ = 18855936.

The previous prime is 43140011. The next prime is 43140037. The reversal of 43140032 is 23004134.

It is a super-2 number, since 2×431400322 = 3722124721922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43140037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14444 + ... + 17172.

It is an arithmetic number, because the mean of its divisors is an integer number (1733550).

Almost surely, 243140032 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 43140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48539400).

43140032 is an abundant number, since it is smaller than the sum of its proper divisors (53938768).

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

43140032 is a wasteful number, since it uses less digits than its factorization.

43140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 43140032 is about 6568.1071854835. The cubic root of 43140032 is about 350.7196946092.

Adding to 43140032 its reverse (23004134), we get a palindrome (66144166).

The spelling of 43140032 in words is "forty-three million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 2729 3952 5458 7904 10916 15808 21832 35477 43664 51851 70954 87328 103702 141908 174656 207404 283816 414808 567632 674063 829616 1135264 1348126 1659232 2270528 2696252 3318464 5392504 10785008 21570016 43140032