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23125788 = 22327163563
BaseRepresentation
bin101100000110…
…1111100011100
31121111220121200
41120031330130
521410011123
62143355500
7400365060
oct130157434
947456550
1023125788
1112065824
1278b2b90
134a390ca
1430ddaa0
15206c143
hex160df1c

23125788 has 72 divisors (see below), whose sum is σ = 67337088. Its totient is φ = 6555168.

The previous prime is 23125759. The next prime is 23125799. The reversal of 23125788 is 88752132.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40795 + ... + 41357.

Almost surely, 223125788 is an apocalyptic number.

23125788 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 23125788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33668544).

23125788 is an abundant number, since it is smaller than the sum of its proper divisors (44211300).

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

23125788 is a wasteful number, since it uses less digits than its factorization.

23125788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 738 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 23125788 is about 4808.9279470585. The cubic root of 23125788 is about 284.9041967927.

It can be divided in two parts, 2312 and 5788, that added together give a square (8100 = 902).

The spelling of 23125788 in words is "twenty-three million, one hundred twenty-five thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 489 563 652 978 1126 1141 1467 1689 1956 2252 2282 2934 3378 3423 3941 4564 5067 5868 6756 6846 7882 10134 10269 11823 13692 15764 20268 20538 23646 35469 41076 47292 70938 91769 141876 183538 275307 367076 550614 642383 825921 1101228 1284766 1651842 1927149 2569532 3303684 3854298 5781447 7708596 11562894 23125788