Search a number
-
+
18055752 = 23311135261
BaseRepresentation
bin100010011100…
…0001001001000
31020222022211120
41010320021020
514110241002
61442555240
7306320451
oct104701110
936868746
1018055752
11a212610
126068b20
1339824a0
142580128
1518b9cbc
hex1138248

18055752 has 64 divisors (see below), whose sum is σ = 53040960. Its totient is φ = 5049600.

The previous prime is 18055721. The next prime is 18055753. The reversal of 18055752 is 25755081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (18055753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802 + ... + 6062.

It is an arithmetic number, because the mean of its divisors is an integer number (828765).

Almost surely, 218055752 is an apocalyptic number.

18055752 is a gapful number since it is divisible by the number (12) 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 18055752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26520480).

18055752 is an abundant number, since it is smaller than the sum of its proper divisors (34985208).

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

18055752 is a wasteful number, since it uses less digits than its factorization.

18055752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5294 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 18055752 is about 4249.2060434862. The cubic root of 18055752 is about 262.3444375342.

It can be divided in two parts, 1805 and 5752, that added together give a palindrome (7557).

The spelling of 18055752 in words is "eighteen million, fifty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 5261 10522 15783 21044 31566 42088 57871 63132 68393 115742 126264 136786 173613 205179 231484 273572 347226 410358 462968 547144 694452 752323 820716 1388904 1504646 1641432 2256969 3009292 4513938 6018584 9027876 18055752