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5553441 = 341737109
BaseRepresentation
bin10101001011110100100001
3101110010220000
4111023310201
52410202231
6315010213
765126535
oct25136441
911403800
105553441
113153423
121a39969
1311c597a
14a47bc5
1574a6e6
hex54bd21

5553441 has 40 divisors (see below), whose sum is σ = 9104040. Its totient is φ = 3359232.

The previous prime is 5553437. The next prime is 5553461. The reversal of 5553441 is 1443555.

5553441 = 333 + 343 + ... + 693.

It can be written as a sum of positive squares in 4 ways, for example, as 3240000 + 2313441 = 1800^2 + 1521^2 .

It is not a de Polignac number, because 5553441 - 22 = 5553437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

5553441 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5553421) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 50895 + ... + 51003.

It is an arithmetic number, because the mean of its divisors is an integer number (227601).

Almost surely, 25553441 is an apocalyptic number.

5553441 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5553441 is a deficient number, since it is larger than the sum of its proper divisors (3550599).

5553441 is a wasteful number, since it uses less digits than its factorization.

5553441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 5553441 is about 2356.5739962921. The cubic root of 5553441 is about 177.0872881731.

Adding to 5553441 its reverse (1443555), we get a palindrome (6996996).

The spelling of 5553441 in words is "five million, five hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 9 17 27 37 51 81 109 111 153 327 333 459 629 981 999 1377 1853 1887 2943 2997 4033 5559 5661 8829 12099 16677 16983 36297 50031 50949 68561 108891 150093 205683 326673 617049 1851147 5553441