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12444144 = 243318363
BaseRepresentation
bin101111011110…
…000111110000
3212102020011020
4233132013300
511141203034
61122415440
7210526206
oct57360760
925366136
1012444144
11702a519
124201580
1327691cb
14191d076
15115c249
hexbde1f0

12444144 has 40 divisors (see below), whose sum is σ = 33188352. Its totient is φ = 4013760.

The previous prime is 12444139. The next prime is 12444163. The reversal of 12444144 is 44144421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2694 + ... + 5669.

Almost surely, 212444144 is an apocalyptic number.

It is an amenable number.

12444144 is an abundant number, since it is smaller than the sum of its proper divisors (20744208).

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

12444144 is a wasteful number, since it uses less digits than its factorization.

12444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8399 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 12444144 is about 3527.6258304985. The cubic root of 12444144 is about 231.7332447282.

Adding to 12444144 its reverse (44144421), we get a palindrome (56588565).

The spelling of 12444144 in words is "twelve million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 8363 16726 25089 33452 50178 66904 100356 133808 200712 259253 401424 518506 777759 1037012 1555518 2074024 3111036 4148048 6222072 12444144