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23778048 = 28374423
BaseRepresentation
bin101101010110…
…1001100000000
31122202001100110
41122231030000
522041344143
62205351320
7406052520
oct132551400
948661313
1023778048
1112470888
127b68540
134c06c68
14322d680
15214a533
hex16ad300

23778048 has 72 divisors (see below), whose sum is σ = 72341248. Its totient is φ = 6792192.

The previous prime is 23778017. The next prime is 23778059. The reversal of 23778048 is 84087732.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23777997 and 23778015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3165 + ... + 7587.

Almost surely, 223778048 is an apocalyptic number.

23778048 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 23778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36170624).

23778048 is an abundant number, since it is smaller than the sum of its proper divisors (48563200).

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

23778048 is an equidigital number, since it uses as much as digits as its factorization.

23778048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 23778048 is about 4876.2739873801. The cubic root of 23778048 is about 287.5579638643.

The spelling of 23778048 in words is "twenty-three million, seven hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 4423 5376 8846 13269 17692 26538 30961 35384 53076 61922 70768 92883 106152 123844 141536 185766 212304 247688 283072 371532 424608 495376 566144 743064 849216 990752 1132288 1486128 1698432 1981504 2972256 3396864 3963008 5944512 7926016 11889024 23778048