Search a number
-
+
18428424 = 2337432551
BaseRepresentation
bin100011001001…
…1001000001000
31021200021001020
41012103020020
514204202144
61454552440
7312432120
oct106231010
937607036
1018428424
11a447603
126208720
133a82cc1
142639c80
151940419
hex1193208

18428424 has 64 divisors (see below), whose sum is σ = 53898240. Its totient is φ = 5140800.

The previous prime is 18428419. The next prime is 18428437. The reversal of 18428424 is 42482481.

It is a super-2 number, since 2×184284242 = 679213622247552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5949 + ... + 8499.

It is an arithmetic number, because the mean of its divisors is an integer number (842160).

Almost surely, 218428424 is an apocalyptic number.

18428424 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 18428424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26949120).

18428424 is an abundant number, since it is smaller than the sum of its proper divisors (35469816).

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

18428424 is a wasteful number, since it uses less digits than its factorization.

18428424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2606 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 18428424 is about 4292.8340289371. The cubic root of 18428424 is about 264.1370959192.

The spelling of 18428424 in words is "eighteen million, four hundred twenty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 2551 3612 5102 7224 7653 10204 15306 17857 20408 30612 35714 53571 61224 71428 107142 109693 142856 214284 219386 329079 428568 438772 658158 767851 877544 1316316 1535702 2303553 2632632 3071404 4607106 6142808 9214212 18428424