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18386944 = 212672
BaseRepresentation
bin100011000100…
…1000000000000
31021121011010221
41012021000000
514201340234
61454032424
7312200152
oct106110000
937534127
1018386944
11a419424
1261a8714
133a6a164
142628ad2
151932eb4
hex1189000

18386944 has 39 divisors (see below), whose sum is σ = 37326387. Its totient is φ = 9056256.

The previous prime is 18386923. The next prime is 18386947. The reversal of 18386944 is 44968381.

The square root of 18386944 is 4288.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18386944.

It is not an unprimeable number, because it can be changed into a prime (18386947) 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 2 ways as a sum of consecutive naturals, for example, 274399 + ... + 274465.

Almost surely, 218386944 is an apocalyptic number.

18386944 is the 4288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18386944

18386944 is an abundant number, since it is smaller than the sum of its proper divisors (18939443).

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

18386944 is an frugal number, since it uses more digits than its factorization.

18386944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 69 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The cubic root of 18386944 is about 263.9387675557.

The spelling of 18386944 in words is "eighteen million, three hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1024 1072 2048 2144 4096 4288 4489 8576 8978 17152 17956 34304 35912 68608 71824 137216 143648 274432 287296 574592 1149184 2298368 4596736 9193472 18386944