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18417042 = 2327319157
BaseRepresentation
bin100011001000…
…0010110010010
31021122200102200
41012100112102
514203321132
61454424030
7312354000
oct106202622
937580380
1018417042
11a439aa6
126202016
133a7aa77
142635a70
15193bd7c
hex1190592

18417042 has 96 divisors (see below), whose sum is σ = 49296000. Its totient is φ = 4953312.

The previous prime is 18417031. The next prime is 18417067. The reversal of 18417042 is 24071481.

It is a junction number, because it is equal to n+sod(n) for n = 18416997 and 18417015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117228 + ... + 117384.

It is an arithmetic number, because the mean of its divisors is an integer number (513500).

Almost surely, 218417042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18417042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648000).

18417042 is an abundant number, since it is smaller than the sum of its proper divisors (30878958).

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

18417042 is a wasteful number, since it uses less digits than its factorization.

18417042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 18417042 is about 4291.5081265215. The cubic root of 18417042 is about 264.0827048041.

The spelling of 18417042 in words is "eighteen million, four hundred seventeen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 157 171 266 294 314 342 343 399 441 471 686 798 882 931 942 1029 1099 1197 1413 1862 2058 2198 2394 2793 2826 2983 3087 3297 5586 5966 6174 6517 6594 7693 8379 8949 9891 13034 15386 16758 17898 19551 19782 20881 23079 26847 39102 41762 46158 53694 53851 58653 62643 69237 107702 117306 125286 138474 146167 161553 187929 292334 323106 375858 438501 484659 877002 969318 1023169 1315503 2046338 2631006 3069507 6139014 9208521 18417042