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4043144 = 2371731137
BaseRepresentation
bin1111011011000110001000
321121102011002
433123012020
52013340034
6222354132
746236410
oct17330610
97542132
104043144
112311746
12142b948
13ab73c1
14773640
1554ce7e
hex3db188

4043144 has 64 divisors (see below), whose sum is σ = 9538560. Its totient is φ = 1566720.

The previous prime is 4043129. The next prime is 4043159. The reversal of 4043144 is 4413404.

4043144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4043129) and next prime (4043159).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29444 + ... + 29580.

It is an arithmetic number, because the mean of its divisors is an integer number (149040).

Almost surely, 24043144 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 4043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769280).

4043144 is an abundant number, since it is smaller than the sum of its proper divisors (5495416).

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

4043144 is a wasteful number, since it uses less digits than its factorization.

4043144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4043144 is about 2010.7570713540. The cubic root of 4043144 is about 159.3087890548.

Adding to 4043144 its reverse (4413404), we get a palindrome (8456548).

The spelling of 4043144 in words is "four million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 137 217 238 248 274 434 476 527 548 868 952 959 1054 1096 1736 1918 2108 2329 3689 3836 4216 4247 4658 7378 7672 8494 9316 14756 16303 16988 18632 29512 29729 32606 33976 59458 65212 72199 118916 130424 144398 237832 288796 505393 577592 1010786 2021572 4043144