Search a number
-
+
24189242 = 27211191181
BaseRepresentation
bin101110001000…
…1100100111010
31200111221101212
41130101210322
522143023432
62222243122
7412414400
oct134214472
950457355
1024189242
1112721810
1281264a2
13501c17c
1432d9470
1521cc2b2
hex171193a

24189242 has 48 divisors (see below), whose sum is σ = 48509280. Its totient is φ = 8920800.

The previous prime is 24189229. The next prime is 24189257. The reversal of 24189242 is 24298142.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 24189199 and 24189208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19892 + ... + 21072.

It is an arithmetic number, because the mean of its divisors is an integer number (1010610).

Almost surely, 224189242 is an apocalyptic number.

24189242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24189242 is an abundant number, since it is smaller than the sum of its proper divisors (24320038).

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

24189242 is a wasteful number, since it uses less digits than its factorization.

24189242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1220 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 24189242 is about 4918.2559917109. The cubic root of 24189242 is about 289.2060805883.

Subtracting 24189242 from its reverse (24298142), we obtain a square (108900 = 3302).

The spelling of 24189242 in words is "twenty-four million, one hundred eighty-nine thousand, two hundred forty-two".

Divisors: 1 2 7 11 14 19 22 38 49 77 98 133 154 209 266 418 539 931 1078 1181 1463 1862 2362 2926 8267 10241 12991 16534 20482 22439 25982 44878 57869 90937 115738 157073 181874 246829 314146 493658 636559 1099511 1273118 1727803 2199022 3455606 12094621 24189242