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24141942 = 2331197419
BaseRepresentation
bin101110000011…
…0000001110110
31200102112112000
41130012001312
522140020232
62221240130
7412126446
oct134060166
950375460
1024141942
111269a220
128103046
135003796
1432c6126
1521bd27c
hex1706076

24141942 has 64 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 7223040.

The previous prime is 24141941. The next prime is 24141947. The reversal of 24141942 is 24914142.

It is a happy number.

24141942 is a `hidden beast` number, since 241 + 419 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24141941) 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 31 ways as a sum of consecutive naturals, for example, 57409 + ... + 57827.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 224141942 is an apocalyptic number.

24141942 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 24141942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

24141942 is an abundant number, since it is smaller than the sum of its proper divisors (35128458).

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

24141942 is a wasteful number, since it uses less digits than its factorization.

24141942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 24141942 is about 4913.4450236061. The cubic root of 24141942 is about 289.0174516427.

It can be divided in two parts, 2414 and 1942, that added together give a square (4356 = 662).

The spelling of 24141942 in words is "twenty-four million, one hundred forty-one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 194 198 291 297 419 582 594 838 873 1067 1257 1746 2134 2514 2619 3201 3771 4609 5238 6402 7542 9218 9603 11313 13827 19206 22626 27654 28809 40643 41481 57618 81286 82962 121929 124443 243858 248886 365787 447073 731574 894146 1097361 1341219 2194722 2682438 4023657 8047314 12070971 24141942