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5758938 = 234191871
BaseRepresentation
bin10101111101111111011010
3101211120210000
4111331333122
52433241223
6323233430
766643623
oct25757732
911746700
105758938
113283859
121b18876
131268373
14a9ca4a
1578b543
hex57dfda

5758938 has 40 divisors (see below), whose sum is σ = 13590720. Its totient is φ = 1817640.

The previous prime is 5758933. The next prime is 5758943. The reversal of 5758938 is 8398575.

It is an interprime number because it is at equal distance from previous prime (5758933) and next prime (5758943).

It is a junction number, because it is equal to n+sod(n) for n = 5758893 and 5758902.

It is not an unprimeable number, because it can be changed into a prime (5758933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2143 + ... + 4013.

It is an arithmetic number, because the mean of its divisors is an integer number (339768).

Almost surely, 25758938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5758938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795360).

5758938 is an abundant number, since it is smaller than the sum of its proper divisors (7831782).

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

5758938 is a wasteful number, since it uses less digits than its factorization.

5758938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1895 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 5758938 is about 2399.7787398008. The cubic root of 5758938 is about 179.2451723985.

The spelling of 5758938 in words is "five million, seven hundred fifty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 1871 3078 3742 5613 11226 16839 33678 35549 50517 71098 101034 106647 151551 213294 303102 319941 639882 959823 1919646 2879469 5758938