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43116272 = 2429432161
BaseRepresentation
bin1010010001111…
…0011011110000
310000010112101222
42210132123300
542014210042
64140044212
71032324263
oct244363360
9100115358
1043116272
1122379991
1212533668
138c180b4
145a24cda
153bba2d2
hex291e6f0

43116272 has 40 divisors (see below), whose sum is σ = 88469040. Its totient is φ = 20321280.

The previous prime is 43116253. The next prime is 43116277. The reversal of 43116272 is 27261134.

43116272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×431162722 = 3718025822355968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43116277) 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 7 ways as a sum of consecutive naturals, for example, 18872 + ... + 21032.

It is an arithmetic number, because the mean of its divisors is an integer number (2211726).

Almost surely, 243116272 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 43116272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44234520).

43116272 is an abundant number, since it is smaller than the sum of its proper divisors (45352768).

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

43116272 is a wasteful number, since it uses less digits than its factorization.

43116272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2235 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 43116272 is about 6566.2981960919. The cubic root of 43116272 is about 350.6552947940.

It can be divided in two parts, 43 and 116272, that multiplied together give a square (4999696 = 22362).

The spelling of 43116272 in words is "forty-three million, one hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 688 1247 2161 2494 4322 4988 8644 9976 17288 19952 34576 62669 92923 125338 185846 250676 371692 501352 743384 1002704 1486768 2694767 5389534 10779068 21558136 43116272