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5438345 = 511289101
BaseRepresentation
bin10100101111101110001001
3101020022000012
4110233232021
52343011340
6312321305
764140143
oct24575611
911208005
105438345
113084a00
1219a3235
131185473
14a17c93
15726565
hex52fb89

5438345 has 24 divisors (see below), whose sum is σ = 7325640. Its totient is φ = 3872000.

The previous prime is 5438311. The next prime is 5438347.

5438345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 4414201 = 1012^2 + 2101^2 .

It is not a de Polignac number, because 5438345 - 220 = 4389769 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438347) 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 23 ways as a sum of consecutive naturals, for example, 53795 + ... + 53895.

It is an arithmetic number, because the mean of its divisors is an integer number (305235).

Almost surely, 25438345 is an apocalyptic number.

5438345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5438345 is a deficient number, since it is larger than the sum of its proper divisors (1887295).

5438345 is a wasteful number, since it uses less digits than its factorization.

5438345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 5438345 is about 2332.0259432519. The cubic root of 5438345 is about 175.8553498982.

It can be divided in two parts, 543 and 8345, that added together give a palindrome (8888).

The spelling of 5438345 in words is "five million, four hundred thirty-eight thousand, three hundred forty-five".

Divisors: 1 5 11 55 89 101 121 445 505 605 979 1111 4895 5555 8989 10769 12221 44945 53845 61105 98879 494395 1087669 5438345