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27496144 = 2413163811
BaseRepresentation
bin110100011100…
…0111011010000
31220201221121201
41220320323100
524014334034
62421200544
7452466454
oct150707320
956657551
1027496144
1114580295
129260154
135909410
14391a664
152632014
hex1a38ed0

27496144 has 40 divisors (see below), whose sum is σ = 57794912. Its totient is φ = 12597120.

The previous prime is 27496141. The next prime is 27496151. The reversal of 27496144 is 44169472.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27496141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33499 + ... + 34309.

Almost surely, 227496144 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 27496144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28897456).

27496144 is an abundant number, since it is smaller than the sum of its proper divisors (30298768).

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

27496144 is a wasteful number, since it uses less digits than its factorization.

27496144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 27496144 is about 5243.6765727875. The cubic root of 27496144 is about 301.8264283367.

The spelling of 27496144 in words is "twenty-seven million, four hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 163 208 326 652 811 1304 1622 2119 2608 3244 4238 6488 8476 10543 12976 16952 21086 33904 42172 84344 132193 168688 264386 528772 1057544 1718509 2115088 3437018 6874036 13748072 27496144