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23744072 = 23112191291
BaseRepresentation
bin101101010010…
…0111001001000
31122200022202002
41122210321020
522034302242
62204530132
7405551462
oct132447110
948608662
1023744072
1112448300
127b50948
134bc4661
143221132
152140432
hex16a4e48

23744072 has 48 divisors (see below), whose sum is σ = 51550800. Its totient is φ = 10216800.

The previous prime is 23744023. The next prime is 23744081. The reversal of 23744072 is 27044732.

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 11 ways as a sum of consecutive naturals, for example, 17747 + ... + 19037.

It is an arithmetic number, because the mean of its divisors is an integer number (1073975).

Almost surely, 223744072 is an apocalyptic number.

23744072 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 23744072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25775400).

23744072 is an abundant number, since it is smaller than the sum of its proper divisors (27806728).

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

23744072 is a wasteful number, since it uses less digits than its factorization.

23744072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 23744072 is about 4872.7889344810. The cubic root of 23744072 is about 287.4209365454.

It can be divided in two parts, 2374 and 4072, that added together give a palindrome (6446).

The spelling of 23744072 in words is "twenty-three million, seven hundred forty-four thousand, seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1291 1672 2299 2582 4598 5164 9196 10328 14201 18392 24529 28402 49058 56804 98116 113608 156211 196232 269819 312422 539638 624844 1079276 1249688 2158552 2968009 5936018 11872036 23744072