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23838432 = 253248317
BaseRepresentation
bin101101011101…
…1111011100000
31122212010011220
41122323323200
522100312212
62210535040
7406423542
oct132737340
948763156
1023838432
1112502192
127b97480
134c285a7
143247692
15215d38c
hex16bbee0

23838432 has 24 divisors (see below), whose sum is σ = 62576136. Its totient is φ = 7946112.

The previous prime is 23838431. The next prime is 23838439. The reversal of 23838432 is 23483832.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 23838393 and 23838402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23838431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124063 + ... + 124254.

It is an arithmetic number, because the mean of its divisors is an integer number (2607339).

Almost surely, 223838432 is an apocalyptic number.

It is an amenable number.

23838432 is an abundant number, since it is smaller than the sum of its proper divisors (38737704).

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

23838432 is a wasteful number, since it uses less digits than its factorization.

23838432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248330 (or 248322 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 23838432 is about 4882.4616741967. The cubic root of 23838432 is about 287.8011744976.

The spelling of 23838432 in words is "twenty-three million, eight hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 248317 496634 744951 993268 1489902 1986536 2979804 3973072 5959608 7946144 11919216 23838432