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23804928 = 21034741
BaseRepresentation
bin101101011001…
…1110000000000
31122210102020000
41122303300000
522043224203
62210120000
7406224060
oct132636000
948712200
1023804928
1112489aa4
127b80000
134c16274
1432393a0
1521534a3
hex16b3c00

23804928 has 220 divisors, whose sum is σ = 83222832. Its totient is φ = 6635520.

The previous prime is 23804923. The next prime is 23804933. The reversal of 23804928 is 82940832.

It is an interprime number because it is at equal distance from previous prime (23804923) and next prime (23804933).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23804892 and 23804901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23804923) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580588 + ... + 580628.

Almost surely, 223804928 is an apocalyptic number.

23804928 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 23804928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41611416).

23804928 is an abundant number, since it is smaller than the sum of its proper divisors (59417904).

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

23804928 is an equidigital number, since it uses as much as digits as its factorization.

23804928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23804928 is about 4879.0294116761. The cubic root of 23804928 is about 287.6662801183. Note that the first 3 decimals are identical.

23804928 divided by its product of nonzero digits (27648) gives a triangular number (861 = T41).

The spelling of 23804928 in words is "twenty-three million, eight hundred four thousand, nine hundred twenty-eight".