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23823952 = 2423411579
BaseRepresentation
bin101101011100…
…0011001010000
31122211101022121
41122320121100
522044331302
62210344024
7406333405
oct132703120
948741277
1023823952
11124a2319
127b8b014
134c21b19
1432422ac
152158e37
hex16b8650

23823952 has 40 divisors (see below), whose sum is σ = 49371840. Its totient is φ = 11109120.

The previous prime is 23823949. The next prime is 23823959. The reversal of 23823952 is 25932832.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23823959) 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, 14299 + ... + 15877.

It is an arithmetic number, because the mean of its divisors is an integer number (1234296).

Almost surely, 223823952 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 23823952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24685920).

23823952 is an abundant number, since it is smaller than the sum of its proper divisors (25547888).

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

23823952 is a wasteful number, since it uses less digits than its factorization.

23823952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1645 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 23823952 is about 4880.9785904058. The cubic root of 23823952 is about 287.7428903918.

The spelling of 23823952 in words is "twenty-three million, eight hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1579 1886 3158 3772 6316 7544 12632 15088 25264 36317 64739 72634 129478 145268 258956 290536 517912 581072 1035824 1488997 2977994 5955988 11911976 23823952