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24066042 = 23711134007
BaseRepresentation
bin101101111001…
…1011111111010
31200021200101220
41123303133322
522130103132
62215452510
7411362250
oct133633772
950250356
1024066042
11126481a0
128087136
134ca8080
1432a65d0
1521a5a2c
hex16f37fa

24066042 has 64 divisors (see below), whose sum is σ = 64641024. Its totient is φ = 5768640.

The previous prime is 24066011. The next prime is 24066047.

24066042 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (24066047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4003 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (1010016).

Almost surely, 224066042 is an apocalyptic number.

24066042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24066042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32320512).

24066042 is an abundant number, since it is smaller than the sum of its proper divisors (40574982).

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

24066042 is a wasteful number, since it uses less digits than its factorization.

24066042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 24066042 is about 4905.7152383725. The cubic root of 24066042 is about 288.7142524289.

It can be divided in two parts, 2406 and 6042, that added together give a palindrome (8448).

The spelling of 24066042 in words is "twenty-four million, sixty-six thousand, forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 4007 6006 8014 12021 24042 28049 44077 52091 56098 84147 88154 104182 132231 156273 168294 264462 308539 312546 364637 573001 617078 729274 925617 1093911 1146002 1719003 1851234 2187822 3438006 4011007 8022014 12033021 24066042