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18814144 = 26734027
BaseRepresentation
bin100011111000…
…1010011000000
31022101212011011
41013301103000
514304023034
61511130304
7315626506
oct107612300
938355134
1018814144
11a690388
126373994
133b8973b
1426da676
1519b9864
hex11f14c0

18814144 has 28 divisors (see below), whose sum is σ = 37855144. Its totient is φ = 9275904.

The previous prime is 18814141. The next prime is 18814151. The reversal of 18814144 is 44141881.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18814141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2659 + ... + 6685.

Almost surely, 218814144 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 18814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927572).

18814144 is an abundant number, since it is smaller than the sum of its proper divisors (19041000).

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

18814144 is an equidigital number, since it uses as much as digits as its factorization.

18814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4102 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 18814144 is about 4337.5274062535. The cubic root of 18814144 is about 265.9672449162.

The spelling of 18814144 in words is "eighteen million, eight hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4027 4672 8054 16108 32216 64432 128864 257728 293971 587942 1175884 2351768 4703536 9407072 18814144