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18424016 = 2413101877
BaseRepresentation
bin100011001001…
…0000011010000
31021200000222222
41012102003100
514204032031
61454520212
7312413222
oct106220320
937600888
1018424016
11a444266
126206068
133a80cb0
142638412
15193de7b
hex11920d0

18424016 has 40 divisors (see below), whose sum is σ = 38867304. Its totient is φ = 8409600.

The previous prime is 18423967. The next prime is 18424027. The reversal of 18424016 is 61042481.

It can be written as a sum of positive squares in 4 ways, for example, as 7268416 + 11155600 = 2696^2 + 3340^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20570 + ... + 21446.

Almost surely, 218424016 is an apocalyptic number.

18424016 is a gapful number since it is divisible by the number (16) 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 18424016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19433652).

18424016 is an abundant number, since it is smaller than the sum of its proper divisors (20443288).

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

18424016 is a wasteful number, since it uses less digits than its factorization.

18424016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 18424016 is about 4292.3205844857. The cubic root of 18424016 is about 264.1160340862.

Adding to 18424016 its reverse (61042481), we get a palindrome (79466497).

The spelling of 18424016 in words is "eighteen million, four hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 808 877 1313 1616 1754 2626 3508 5252 7016 10504 11401 14032 21008 22802 45604 88577 91208 177154 182416 354308 708616 1151501 1417232 2303002 4606004 9212008 18424016