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23828112 = 24327211307
BaseRepresentation
bin101101011100…
…1011010010000
31122211121000200
41122321122100
522044444422
62210415200
7406351500
oct132713220
948747020
1023828112
11124a5460
127b91500
134c23999
143243a00
15215a2ac
hex16b9690

23828112 has 180 divisors, whose sum is σ = 84900816. Its totient is φ = 6168960.

The previous prime is 23828099. The next prime is 23828113. The reversal of 23828112 is 21182832.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23828113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77463 + ... + 77769.

Almost surely, 223828112 is an apocalyptic number.

23828112 is a gapful number since it is divisible by the number (22) 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 23828112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42450408).

23828112 is an abundant number, since it is smaller than the sum of its proper divisors (61072704).

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

23828112 is a wasteful number, since it uses less digits than its factorization.

23828112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 23828112 is about 4881.4047158579. The cubic root of 23828112 is about 287.7596374140.

The spelling of 23828112 in words is "twenty-three million, eight hundred twenty-eight thousand, one hundred twelve".