Search a number
-
+
24244992 = 283217619
BaseRepresentation
bin101110001111…
…1001100000000
31200121202212200
41130133030000
522201314432
62223353200
7413036052
oct134371400
950552780
1024244992
111275a692
128152800
13503b665
1433118d2
1521dda7c
hex171f300

24244992 has 108 divisors (see below), whose sum is σ = 74135880. Its totient is φ = 7593984.

The previous prime is 24244973. The next prime is 24245029. The reversal of 24244992 is 29944242.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38859 + ... + 39477.

Almost surely, 224244992 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 24244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37067940).

24244992 is an abundant number, since it is smaller than the sum of its proper divisors (49890888).

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

24244992 is a wasteful number, since it uses less digits than its factorization.

24244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 24244992 is about 4923.9203892833. The cubic root of 24244992 is about 289.4280920674.

The spelling of 24244992 in words is "twenty-four million, two hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 619 768 816 1088 1152 1224 1238 1632 1857 2176 2304 2448 2476 3264 3714 4352 4896 4952 5571 6528 7428 9792 9904 10523 11142 13056 14856 19584 19808 21046 22284 29712 31569 39168 39616 42092 44568 59424 63138 79232 84184 89136 94707 118848 126276 158464 168368 178272 189414 237696 252552 336736 356544 378828 475392 505104 673472 713088 757656 1010208 1346944 1426176 1515312 2020416 2693888 3030624 4040832 6061248 8081664 12122496 24244992