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24000042 = 2311794603
BaseRepresentation
bin101101110001…
…1011000101010
31200011022212110
41123203120222
522121000132
62214223150
7410665653
oct133433052
950138773
1024000042
1112602650
128054ab6
134c84011
14328a52a
1521911cc
hex16e362a

24000042 has 32 divisors (see below), whose sum is σ = 53038080. Its totient is φ = 7179120.

The previous prime is 24000037. The next prime is 24000049.

24000042 is nontrivially palindromic in base 10.

24000042 is a modest number, since divided by 42 gives 24 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 23999991 and 24000027.

It is not an unprimeable number, because it can be changed into a prime (24000049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2913 + ... + 7515.

It is an arithmetic number, because the mean of its divisors is an integer number (1657440).

Almost surely, 224000042 is an apocalyptic number.

24000042 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 24000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26519040).

24000042 is an abundant number, since it is smaller than the sum of its proper divisors (29038038).

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

24000042 is a wasteful number, since it uses less digits than its factorization.

24000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 24000042 is about 4898.9837721715. The cubic root of 24000042 is about 288.4500823238.

It can be divided in two parts, 240000 and 42, that added together give a palindrome (240042).

The spelling of 24000042 in words is "twenty-four million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2607 4603 5214 9206 13809 27618 50633 101266 151899 303798 363637 727274 1090911 2181822 4000007 8000014 12000021 24000042