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27944268 = 22311316829
BaseRepresentation
bin110101010011…
…0010101001100
31221120201022220
41222212111030
524123204033
62434535340
7456344112
oct152462514
957521286
1027944268
1114856a40
129437550
135a35391
1439d5ab2
1526bebb3
hex1aa654c

27944268 has 48 divisors (see below), whose sum is σ = 73436160. Its totient is φ = 8193600.

The previous prime is 27944263. The next prime is 27944291. The reversal of 27944268 is 86244972.

It is a super-2 number, since 2×279442682 = 1561764228111648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27944261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678 + ... + 7506.

It is an arithmetic number, because the mean of its divisors is an integer number (1529920).

Almost surely, 227944268 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 27944268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36718080).

27944268 is an abundant number, since it is smaller than the sum of its proper divisors (45491892).

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

27944268 is a wasteful number, since it uses less digits than its factorization.

27944268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6876 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 27944268 is about 5286.2338200273. The cubic root of 27944268 is about 303.4572929204.

The spelling of 27944268 in words is "twenty-seven million, nine hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 6829 13658 20487 27316 40974 75119 81948 150238 211699 225357 300476 423398 450714 635097 846796 901428 1270194 2328689 2540388 4657378 6986067 9314756 13972134 27944268