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18989056 = 2141961
BaseRepresentation
bin100100001110…
…0000000000000
31022201202002101
41020130000000
514330122211
61515000144
7320255452
oct110340000
938652071
1018989056
11a79a839
126439054
133c1b238
1427442d2
151a015c1
hex121c000

18989056 has 60 divisors (see below), whose sum is σ = 40631080. Its totient is φ = 8847360.

The previous prime is 18989041. The next prime is 18989059. The reversal of 18989056 is 65098981.

It is a super-2 number, since 2×189890562 = 721168495542272, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 18988997 and 18989015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18989059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311266 + ... + 311326.

Almost surely, 218989056 is an apocalyptic number.

18989056 is a gapful number since it is divisible by the number (16) 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 18989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20315540).

18989056 is an abundant number, since it is smaller than the sum of its proper divisors (21642024).

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

18989056 is an frugal number, since it uses more digits than its factorization.

18989056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The square root of 18989056 is about 4357.6433998206. The cubic root of 18989056 is about 266.7889217206.

The spelling of 18989056 in words is "eighteen million, nine hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 256 304 488 512 608 976 1024 1159 1216 1952 2048 2318 2432 3904 4096 4636 4864 7808 8192 9272 9728 15616 16384 18544 19456 31232 37088 38912 62464 74176 77824 124928 148352 155648 249856 296704 311296 499712 593408 999424 1186816 2373632 4747264 9494528 18989056