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4033141 = 72531553
BaseRepresentation
bin1111011000101001110101
321120220102121
433120221311
52013030031
6222235541
746165300
oct17305165
97526377
104033141
112305182
121425bb1
13ab2998
1476db37
1554a011
hex3d8a75

4033141 has 12 divisors (see below), whose sum is σ = 4783212. Its totient is φ = 3389568.

The previous prime is 4033091. The next prime is 4033147. The reversal of 4033141 is 1413304.

It can be written as a sum of positive squares in 2 ways, for example, as 1552516 + 2480625 = 1246^2 + 1575^2 .

It is not a de Polignac number, because 4033141 - 219 = 3508853 is a prime.

4033141 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033147) 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 11 ways as a sum of consecutive naturals, for example, 1821 + ... + 3373.

It is an arithmetic number, because the mean of its divisors is an integer number (398601).

Almost surely, 24033141 is an apocalyptic number.

It is an amenable number.

4033141 is a deficient number, since it is larger than the sum of its proper divisors (750071).

4033141 is a wasteful number, since it uses less digits than its factorization.

4033141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4033141 is about 2008.2681593851. The cubic root of 4033141 is about 159.1773004722.

Adding to 4033141 its reverse (1413304), we get a palindrome (5446445).

The spelling of 4033141 in words is "four million, thirty-three thousand, one hundred forty-one".

Divisors: 1 7 49 53 371 1553 2597 10871 76097 82309 576163 4033141