Search a number
-
+
18112928 = 2519313
BaseRepresentation
bin100010100011…
…0000110100000
31021002020021012
41011012012200
514114103203
61444120052
7306646241
oct105060640
937066235
1018112928
11a251569
126096028
1339a2512
142596cc8
1518cbbd8
hex11461a0

18112928 has 48 divisors (see below), whose sum is σ = 38787840. Its totient is φ = 8303040.

The previous prime is 18112921. The next prime is 18112931. The reversal of 18112928 is 82921181.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 18112894 and 18112903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18112921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584273 + ... + 584303.

It is an arithmetic number, because the mean of its divisors is an integer number (808080).

Almost surely, 218112928 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 18112928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393920).

18112928 is an abundant number, since it is smaller than the sum of its proper divisors (20674912).

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

18112928 is an frugal number, since it uses more digits than its factorization.

18112928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 52 counting only the distinct ones).

The product of its digits is 2304, while the sum is 32.

The square root of 18112928 is about 4255.9285708292. The cubic root of 18112928 is about 262.6210622238.

The spelling of 18112928 in words is "eighteen million, one hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 961 992 1178 1922 2356 3844 4712 7688 9424 15376 18259 18848 29791 30752 36518 59582 73036 119164 146072 238328 292144 476656 566029 584288 953312 1132058 2264116 4528232 9056464 18112928