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5968648 = 237532011
BaseRepresentation
bin10110110001001100001000
3102020020110001
4112301030020
53011444043
6331532344
7101506210
oct26611410
912206401
105968648
113407374
121bba0b4
13130c95a
14b15240
157cd74d
hex5b1308

5968648 has 32 divisors (see below), whose sum is σ = 13037760. Its totient is φ = 2508480.

The previous prime is 5968643. The next prime is 5968681. The reversal of 5968648 is 8468695.

It is a junction number, because it is equal to n+sod(n) for n = 5968598 and 5968607.

It is not an unprimeable number, because it can be changed into a prime (5968643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963 + ... + 3973.

It is an arithmetic number, because the mean of its divisors is an integer number (407430).

Almost surely, 25968648 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 5968648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518880).

5968648 is an abundant number, since it is smaller than the sum of its proper divisors (7069112).

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

5968648 is a wasteful number, since it uses less digits than its factorization.

5968648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2073 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 5968648 is about 2443.0816605263. The cubic root of 5968648 is about 181.3950043743.

The spelling of 5968648 in words is "five million, nine hundred sixty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2011 2968 4022 8044 14077 16088 28154 56308 106583 112616 213166 426332 746081 852664 1492162 2984324 5968648