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27871296 = 263178539
BaseRepresentation
bin110101001010…
…0100001000000
31221110000020020
41222110201000
524113340141
62433213440
7455621265
oct152244100
957400206
1027871296
1114807132
129401280
135a0b0bb
1439b726c
1526a8266
hex1a94840

27871296 has 56 divisors (see below), whose sum is σ = 78089760. Its totient is φ = 8742912.

The previous prime is 27871273. The next prime is 27871297. The reversal of 27871296 is 69217872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27871297) 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, 1006 + ... + 7533.

It is an arithmetic number, because the mean of its divisors is an integer number (1394460).

Almost surely, 227871296 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 27871296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39044880).

27871296 is an abundant number, since it is smaller than the sum of its proper divisors (50218464).

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

27871296 is a wasteful number, since it uses less digits than its factorization.

27871296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8571 (or 8561 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 27871296 is about 5279.3272298656. The cubic root of 27871296 is about 303.1929192193.

The spelling of 27871296 in words is "twenty-seven million, eight hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 8539 17078 25617 34156 51234 68312 102468 136624 145163 204936 273248 290326 409872 435489 546496 580652 819744 870978 1161304 1639488 1741956 2322608 3483912 4645216 6967824 9290432 13935648 27871296