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24142244 = 2271767757
BaseRepresentation
bin101110000011…
…0000110100100
31200102112221012
41130012012210
522140022434
62221241352
7412130360
oct134060644
950375835
1024142244
111269a475
128103258
135003969
1432c62a0
1521bd3ce
hex17061a4

24142244 has 48 divisors (see below), whose sum is σ = 51956352. Its totient is φ = 9580032.

The previous prime is 24142231. The next prime is 24142247. The reversal of 24142244 is 44224142.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (24142247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31514 + ... + 32270.

It is an arithmetic number, because the mean of its divisors is an integer number (1082424).

Almost surely, 224142244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24142244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25978176).

24142244 is an abundant number, since it is smaller than the sum of its proper divisors (27814108).

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

24142244 is a wasteful number, since it uses less digits than its factorization.

24142244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 850 counting only the distinct ones).

The product of its digits is 2048, while the sum is 23.

The square root of 24142244 is about 4913.4757555116. The cubic root of 24142244 is about 289.0186567778.

Adding to 24142244 its reverse (44224142), we get a palindrome (68366386).

The spelling of 24142244 in words is "twenty-four million, one hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 67 68 119 134 238 268 469 476 757 938 1139 1514 1876 2278 3028 4556 5299 7973 10598 12869 15946 21196 25738 31892 50719 51476 90083 101438 180166 202876 355033 360332 710066 862223 1420132 1724446 3448892 6035561 12071122 24142244