Search a number
-
+
18325944 = 23327132797
BaseRepresentation
bin100010111101…
…0000110111000
31021111001110200
41011322012320
514142412234
61452442200
7311524260
oct105720670
937431420
1018325944
11a38760a
126179360
133a48470
1426107a0
15191ed99
hex117a1b8

18325944 has 96 divisors (see below), whose sum is σ = 61108320. Its totient is φ = 4831488.

The previous prime is 18325943. The next prime is 18325981. The reversal of 18325944 is 44952381.

It is a super-2 number, since 2×183259442 = 671680446982272, which contains 22 as substring.

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 = 18325899 and 18325908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18325943) 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, 5154 + ... + 7950.

It is an arithmetic number, because the mean of its divisors is an integer number (636545).

Almost surely, 218325944 is an apocalyptic number.

18325944 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 18325944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30554160).

18325944 is an abundant number, since it is smaller than the sum of its proper divisors (42782376).

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

18325944 is a wasteful number, since it uses less digits than its factorization.

18325944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2822 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 18325944 is about 4280.8812176934. The cubic root of 18325944 is about 263.6465656125.

It can be divided in two parts, 1832 and 5944, that added together give a 5-th power (7776 = 65).

The spelling of 18325944 in words is "eighteen million, three hundred twenty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 2797 3276 5594 6552 8391 11188 16782 19579 22376 25173 33564 36361 39158 50346 58737 67128 72722 78316 100692 109083 117474 145444 156632 176211 201384 218166 234948 254527 290888 327249 352422 436332 469896 509054 654498 704844 763581 872664 1018108 1308996 1409688 1527162 2036216 2290743 2617992 3054324 4581486 6108648 9162972 18325944