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23628752 = 2471131867
BaseRepresentation
bin101101000100…
…0101111010000
31122110110112222
41122020233100
522022110002
62202240212
7404561330
oct132105720
948413488
1023628752
11123796a4
127ab6068
134b84014
1431d10c0
15211b1a2
hex1688bd0

23628752 has 40 divisors (see below), whose sum is σ = 52812096. Its totient is φ = 10031616.

The previous prime is 23628743. The next prime is 23628779. The reversal of 23628752 is 25782632.

It is a congruent number.

It is an unprimeable number.

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, 11723 + ... + 13589.

Almost surely, 223628752 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 23628752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26406048).

23628752 is an abundant number, since it is smaller than the sum of its proper divisors (29183344).

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

23628752 is a wasteful number, since it uses less digits than its factorization.

23628752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1989 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 23628752 is about 4860.9414725956. The cubic root of 23628752 is about 286.9548667024.

The spelling of 23628752 in words is "twenty-three million, six hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 452 791 904 1582 1808 1867 3164 3734 6328 7468 12656 13069 14936 26138 29872 52276 104552 209104 210971 421942 843884 1476797 1687768 2953594 3375536 5907188 11814376 23628752