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5978944 = 26103907
BaseRepresentation
bin10110110011101101000000
3102020202120101
4112303231000
53012311234
6332052144
7101551216
oct26635500
912222511
105978944
113414084
122004054
13131454a
14b18cb6
157d1814
hex5b3b40

5978944 has 28 divisors (see below), whose sum is σ = 11992864. Its totient is φ = 2957184.

The previous prime is 5978933. The next prime is 5978993. The reversal of 5978944 is 4498795.

It is a d-powerful number, because it can be written as 57 + 95 + 78 + 83 + 95 + 45 + 47 .

It is a junction number, because it is equal to n+sod(n) for n = 5978894 and 5978903.

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 3 ways as a sum of consecutive naturals, for example, 6139 + ... + 7045.

Almost surely, 25978944 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 5978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996432).

5978944 is an abundant number, since it is smaller than the sum of its proper divisors (6013920).

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

5978944 is a wasteful number, since it uses less digits than its factorization.

5978944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 5978944 is about 2445.1879273381. The cubic root of 5978944 is about 181.4992474172.

It can be divided in two parts, 59 and 78944, that added together give a triangular number (79003 = T397).

The spelling of 5978944 in words is "five million, nine hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 907 1648 1814 3296 3628 6592 7256 14512 29024 58048 93421 186842 373684 747368 1494736 2989472 5978944