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23882896 = 2431179269
BaseRepresentation
bin101101100011…
…0110010010000
31122221101011201
41123012302100
522103223041
62211520544
7410000302
oct133066220
948841151
1023882896
1112532634
127bb9154
134c428bb
143259972
15216b631
hex16c6c90

23882896 has 40 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 11448960.

The previous prime is 23882893. The next prime is 23882939. The reversal of 23882896 is 69828832.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23882891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88650 + ... + 88918.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 223882896 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 23882896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

23882896 is an abundant number, since it is smaller than the sum of its proper divisors (24328304).

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

23882896 is a wasteful number, since it uses less digits than its factorization.

23882896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 23882896 is about 4887.0129936394. The cubic root of 23882896 is about 287.9800011833.

The spelling of 23882896 in words is "twenty-three million, eight hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 179 248 269 358 496 538 716 1076 1432 2152 2864 4304 5549 8339 11098 16678 22196 33356 44392 48151 66712 88784 96302 133424 192604 385208 770416 1492681 2985362 5970724 11941448 23882896