Search a number
-
+
18941824 = 271121223
BaseRepresentation
bin100100001000…
…0011110000000
31022122100022001
41020100132000
514322114244
61513553344
7320000656
oct110203600
938570261
1018941824
11a768300
126415854
133c028a5
142730dd6
1519e25d4
hex1210780

18941824 has 48 divisors (see below), whose sum is σ = 41511960. Its totient is φ = 8602880.

The previous prime is 18941807. The next prime is 18941849. The reversal of 18941824 is 42814981.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14877 + ... + 16099.

Almost surely, 218941824 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 18941824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755980).

18941824 is an abundant number, since it is smaller than the sum of its proper divisors (22570136).

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

18941824 is a wasteful number, since it uses less digits than its factorization.

18941824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1236 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 18941824 is about 4352.2205826451. The cubic root of 18941824 is about 266.5675409352.

The spelling of 18941824 in words is "eighteen million, nine hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1223 1408 1936 2446 3872 4892 7744 9784 13453 15488 19568 26906 39136 53812 78272 107624 147983 156544 215248 295966 430496 591932 860992 1183864 1721984 2367728 4735456 9470912 18941824