Search a number
-
+
18216464 = 247413967
BaseRepresentation
bin100010101111…
…1011000010000
31021021111021212
41011133120100
514130411324
61450235252
7310560140
oct105373020
937244255
1018216464
11a312332
126125b28
133a0a696
1425c2920
1518ec70e
hex115f610

18216464 has 40 divisors (see below), whose sum is σ = 41330688. Its totient is φ = 7614720.

The previous prime is 18216463. The next prime is 18216509. The reversal of 18216464 is 46461281.

It is a self number, because there is not a number n which added to its sum of digits gives 18216464.

It is not an unprimeable number, because it can be changed into a prime (18216463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2609 + ... + 6575.

Almost surely, 218216464 is an apocalyptic number.

18216464 is a gapful number since it is divisible by the number (14) 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 18216464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665344).

18216464 is an abundant number, since it is smaller than the sum of its proper divisors (23114224).

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

18216464 is a wasteful number, since it uses less digits than its factorization.

18216464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4017 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 18216464 is about 4268.0749759113. The cubic root of 18216464 is about 263.1205045657.

The spelling of 18216464 in words is "eighteen million, two hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 3967 4592 7934 15868 27769 31736 55538 63472 111076 162647 222152 325294 444304 650588 1138529 1301176 2277058 2602352 4554116 9108232 18216464