Search a number
-
+
18618848 = 25311372
BaseRepresentation
bin100011100000…
…1100111100000
31022000221020222
41013001213200
514231300343
61503022212
7314154233
oct107014740
938027228
1018618848
11a567686
12629a968
133b1b891
14268941a
15197ba68
hex11c19e0

18618848 has 36 divisors (see below), whose sum is σ = 38116512. Its totient is φ = 8943360.

The previous prime is 18618811. The next prime is 18618857. The reversal of 18618848 is 84881681.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18618799 and 18618808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135836 + ... + 135972.

It is an arithmetic number, because the mean of its divisors is an integer number (1058792).

Almost surely, 218618848 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 18618848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058256).

18618848 is an abundant number, since it is smaller than the sum of its proper divisors (19497664).

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

18618848 is an equidigital number, since it uses as much as digits as its factorization.

18618848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 170 counting only the distinct ones).

The product of its digits is 98304, while the sum is 44.

The square root of 18618848 is about 4314.9563149585. The cubic root of 18618848 is about 265.0437711013.

The spelling of 18618848 in words is "eighteen million, six hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 137 248 274 496 548 992 1096 2192 4247 4384 8494 16988 18769 33976 37538 67952 75076 135904 150152 300304 581839 600608 1163678 2327356 4654712 9309424 18618848