Search a number
-
+
18623844 = 2234471223
BaseRepresentation
bin100011100001…
…0110101100100
31022001012010000
41013002311210
514231430334
61503101300
7314204631
oct107026544
938035100
1018623844
11a570408
1262a1830
133b20c35
14268b188
15197d299
hex11c2d64

18623844 has 60 divisors (see below), whose sum is σ = 49762944. Its totient is φ = 6070896.

The previous prime is 18623831. The next prime is 18623851. The reversal of 18623844 is 44832681.

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

It is a junction number, because it is equal to n+sod(n) for n = 18623799 and 18623808.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 14617 + ... + 15839.

Almost surely, 218623844 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 18623844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24881472).

18623844 is an abundant number, since it is smaller than the sum of its proper divisors (31139100).

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

18623844 is a wasteful number, since it uses less digits than its factorization.

18623844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1275 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 18623844 is about 4315.5351927658. The cubic root of 18623844 is about 265.0674754010.

The spelling of 18623844 in words is "eighteen million, six hundred twenty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1223 1269 1692 2446 2538 3669 3807 4892 5076 7338 7614 11007 14676 15228 22014 33021 44028 57481 66042 99063 114962 132084 172443 198126 229924 344886 396252 517329 689772 1034658 1551987 2069316 3103974 4655961 6207948 9311922 18623844