Search a number
-
+
23942748 = 22329107643
BaseRepresentation
bin101101101010…
…1011001011100
31200001102021110
41123111121130
522112131443
62213102020
7410336634
oct133253134
950042243
1023942748
11125735a5
128027910
134c63c0b
1432736c4
15217e233
hex16d565c

23942748 has 48 divisors (see below), whose sum is σ = 58423680. Its totient is φ = 7621824.

The previous prime is 23942741. The next prime is 23942753. The reversal of 23942748 is 84724932.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (23942741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36915 + ... + 37557.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 223942748 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 23942748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29211840).

23942748 is an abundant number, since it is smaller than the sum of its proper divisors (34480932).

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

23942748 is a wasteful number, since it uses less digits than its factorization.

23942748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 23942748 is about 4893.1327388494. The cubic root of 23942748 is about 288.2203656787.

The spelling of 23942748 in words is "twenty-three million, nine hundred forty-two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 642 643 1284 1286 1929 2572 3103 3858 6206 7716 9309 12412 18618 18647 37236 37294 55941 68801 74588 111882 137602 206403 223764 275204 412806 825612 1995229 3990458 5985687 7980916 11971374 23942748