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23293648 = 247316709
BaseRepresentation
bin101100011011…
…0111011010000
31121211102212201
41120312323100
521430344043
62151132544
7401664340
oct130667320
947742781
1023293648
111216a954
127974154
134a97631
143144d20
1520a1c4d
hex1636ed0

23293648 has 40 divisors (see below), whose sum is σ = 53250560. Its totient is φ = 9659520.

The previous prime is 23293637. The next prime is 23293649. The reversal of 23293648 is 84639232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23293649) 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 7 ways as a sum of consecutive naturals, for example, 118 + ... + 6826.

It is an arithmetic number, because the mean of its divisors is an integer number (1331264).

Almost surely, 223293648 is an apocalyptic number.

23293648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23293648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26625280).

23293648 is an abundant number, since it is smaller than the sum of its proper divisors (29956912).

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

23293648 is a wasteful number, since it uses less digits than its factorization.

23293648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6749 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 23293648 is about 4826.3493450019. The cubic root of 23293648 is about 285.5918673651.

The spelling of 23293648 in words is "twenty-three million, two hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 6709 13418 26836 46963 53672 93926 107344 187852 207979 375704 415958 751408 831916 1455853 1663832 2911706 3327664 5823412 11646824 23293648