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11888144 = 242925621
BaseRepresentation
bin101101010110…
…011000010000
3211100222110122
4231112120100
511020410034
61102445412
7203022212
oct55263020
924328418
1011888144
11678a814
123b93868
132603108
1418165b2
15109c62e
hexb56610

11888144 has 20 divisors (see below), whose sum is σ = 23828460. Its totient is φ = 5738880.

The previous prime is 11888143. The next prime is 11888153. The reversal of 11888144 is 44188811.

It can be written as a sum of positive squares in 2 ways, for example, as 4048144 + 7840000 = 2012^2 + 2800^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

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 (11888143) 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, 12347 + ... + 13274.

It is an arithmetic number, because the mean of its divisors is an integer number (1191423).

Almost surely, 211888144 is an apocalyptic number.

It is an amenable number.

11888144 is an abundant number, since it is smaller than the sum of its proper divisors (11940316).

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

11888144 is a wasteful number, since it uses less digits than its factorization.

11888144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25658 (or 25652 counting only the distinct ones).

The product of its digits is 8192, while the sum is 35.

The square root of 11888144 is about 3447.9187925472. The cubic root of 11888144 is about 228.2292758786.

The spelling of 11888144 in words is "eleven million, eight hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 25621 51242 102484 204968 409936 743009 1486018 2972036 5944072 11888144