Search a number
-
+
23929312 = 2511157433
BaseRepresentation
bin101101101001…
…0000111100000
31200000201211211
41123102013200
522111214222
62212515504
7410252521
oct133220740
950021754
1023929312
11125644a0
12801bb94
134c5aa74
14326c848
15217a277
hex16d21e0

23929312 has 48 divisors (see below), whose sum is σ = 51840432. Its totient is φ = 10782720.

The previous prime is 23929291. The next prime is 23929313. The reversal of 23929312 is 21392932.

It is a happy number.

It is a super-2 number, since 2×239293122 = 1145223945586688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23929313) 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, 55048 + ... + 55480.

It is an arithmetic number, because the mean of its divisors is an integer number (1080009).

Almost surely, 223929312 is an apocalyptic number.

23929312 is a gapful number since it is divisible by the number (22) 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 23929312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920216).

23929312 is an abundant number, since it is smaller than the sum of its proper divisors (27911120).

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

23929312 is a wasteful number, since it uses less digits than its factorization.

23929312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 603 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 23929312 is about 4891.7596016158. The cubic root of 23929312 is about 288.1664418567.

The spelling of 23929312 in words is "twenty-three million, nine hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 433 628 866 1256 1727 1732 2512 3454 3464 4763 5024 6908 6928 9526 13816 13856 19052 27632 38104 55264 67981 76208 135962 152416 271924 543848 747791 1087696 1495582 2175392 2991164 5982328 11964656 23929312