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18483968 = 28103701
BaseRepresentation
bin100011010000…
…0101100000000
31021210002020102
41012200230000
514212441333
61500101532
7313053056
oct106405400
937702212
1018483968
11a485308
1262348a8
133aa2379
1426521d6
151951ae8
hex11a0b00

18483968 has 36 divisors (see below), whose sum is σ = 37307088. Its totient is φ = 9139200.

The previous prime is 18483943. The next prime is 18484003. The reversal of 18483968 is 86938481.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26018 + ... + 26718.

It is an arithmetic number, because the mean of its divisors is an integer number (1036308).

Almost surely, 218483968 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 18483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653544).

18483968 is an abundant number, since it is smaller than the sum of its proper divisors (18823120).

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

18483968 is an equidigital number, since it uses as much as digits as its factorization.

18483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 806 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The square root of 18483968 is about 4299.2985474377. The cubic root of 18483968 is about 264.4022029733.

The spelling of 18483968 in words is "eighteen million, four hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 701 824 1402 1648 2804 3296 5608 6592 11216 13184 22432 26368 44864 72203 89728 144406 179456 288812 577624 1155248 2310496 4620992 9241984 18483968