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23856768 = 27351359
BaseRepresentation
bin101101100000…
…0011010000000
31122220001100000
41123000122000
522101404033
62211200000
7406531155
oct133003200
948801300
1023856768
1112514a41
127ba6000
134c33a40
14325022c
152163a13
hex16c0680

23856768 has 192 divisors, whose sum is σ = 77968800. Its totient is φ = 7216128.

The previous prime is 23856751. The next prime is 23856779. The reversal of 23856768 is 86765832.

23856768 is a `hidden beast` number, since 23 + 8 + 567 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404323 + ... + 404381.

Almost surely, 223856768 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 23856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38984400).

23856768 is an abundant number, since it is smaller than the sum of its proper divisors (54112032).

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

23856768 is an equidigital number, since it uses as much as digits as its factorization.

23856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 23856768 is about 4884.3390545702. The cubic root of 23856768 is about 287.8749457072.

The spelling of 23856768 in words is "twenty-three million, eight hundred fifty-six thousand, seven hundred sixty-eight".