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24966942 = 23711134157
BaseRepresentation
bin101111100111…
…1011100011110
31201222110012120
41133033130132
522342420232
62251043410
7422133630
oct137173436
951873176
1024966942
1113103040
128440566
135232150
14345ca50
1522d292c
hex17cf71e

24966942 has 64 divisors (see below), whose sum is σ = 67060224. Its totient is φ = 5984640.

The previous prime is 24966911. The next prime is 24966943.

24966942 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 24966894 and 24966903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24966943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3928 + ... + 8084.

It is an arithmetic number, because the mean of its divisors is an integer number (1047816).

Almost surely, 224966942 is an apocalyptic number.

24966942 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 24966942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112).

24966942 is an abundant number, since it is smaller than the sum of its proper divisors (42093282).

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

24966942 is a wasteful number, since it uses less digits than its factorization.

24966942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193.

The product of its digits is 186624, while the sum is 42.

The square root of 24966942 is about 4996.6931064455. The cubic root of 24966942 is about 292.2728340669.

The spelling of 24966942 in words is "twenty-four million, nine hundred sixty-six thousand, nine hundred 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 4157 6006 8314 12471 24942 29099 45727 54041 58198 87297 91454 108082 137181 162123 174594 274362 320089 324246 378287 594451 640178 756574 960267 1134861 1188902 1783353 1920534 2269722 3566706 4161157 8322314 12483471 24966942