Search a number
-
+
18828472 = 2313197919
BaseRepresentation
bin100011111010…
…0110010111000
31022102120210211
41013310302320
514310002342
61511320504
7316016335
oct107646270
938376724
1018828472
11a6a0123
126380134
133b93110
14270198c
1519bdc17
hex11f4cb8

18828472 has 32 divisors (see below), whose sum is σ = 38253600. Its totient is φ = 8636544.

The previous prime is 18828463. The next prime is 18828479. The reversal of 18828472 is 27482881.

It is a super-2 number, since 2×188284722 = 709022715709568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18828479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20029 + ... + 20947.

It is an arithmetic number, because the mean of its divisors is an integer number (1195425).

Almost surely, 218828472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18828472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126800).

18828472 is an abundant number, since it is smaller than the sum of its proper divisors (19425128).

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

18828472 is a wasteful number, since it uses less digits than its factorization.

18828472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1131 counting only the distinct ones).

The product of its digits is 57344, while the sum is 40.

The square root of 18828472 is about 4339.1787241366. The cubic root of 18828472 is about 266.0347439871.

It can be divided in two parts, 188284 and 72, that added together give a square (188356 = 4342).

The spelling of 18828472 in words is "eighteen million, eight hundred twenty-eight thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 197 394 788 919 1576 1838 2561 3676 5122 7352 10244 11947 20488 23894 47788 95576 181043 362086 724172 1448344 2353559 4707118 9414236 18828472