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18418428 = 223572707
BaseRepresentation
bin100011001000…
…0101011111100
31021122202100000
41012100223330
514203342203
61454434300
7312361020
oct106205374
937582300
1018418428
11a440046
126202990
133a7b5a2
142636380
15193c4a3
hex1190afc

18418428 has 72 divisors (see below), whose sum is σ = 55199872. Its totient is φ = 5260464.

The previous prime is 18418427. The next prime is 18418441. The reversal of 18418428 is 82481481.

It is a happy number.

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 = 18418392 and 18418401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18418427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5451 + ... + 8157.

Almost surely, 218418428 is an apocalyptic number.

18418428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18418428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27599936).

18418428 is an abundant number, since it is smaller than the sum of its proper divisors (36781444).

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

18418428 is a wasteful number, since it uses less digits than its factorization.

18418428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2719 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 18418428 is about 4291.6696051770. The cubic root of 18418428 is about 264.0893292745.

The spelling of 18418428 in words is "eighteen million, four hundred eighteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 2707 3402 5414 6804 8121 10828 16242 18949 24363 32484 37898 48726 56847 73089 75796 97452 113694 146178 170541 219267 227388 292356 341082 438534 511623 657801 682164 877068 1023246 1315602 1534869 2046492 2631204 3069738 4604607 6139476 9209214 18418428