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27112944 = 2431075279
BaseRepresentation
bin110011101101…
…1010111110000
31220000110222010
41213123113300
523420103234
62405042520
7446312325
oct147332760
956013863
1027112944
11143393a1
1290b6440
135803b81
14385ab4c
1525a86e9
hex19db5f0

27112944 has 40 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 8951488.

The previous prime is 27112927. The next prime is 27112961. The reversal of 27112944 is 44921172.

It is an interprime number because it is at equal distance from previous prime (27112927) and next prime (27112961).

It is a super-2 number, since 2×271129442 = 1470223464694272, which contains 22 as substring.

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, 2497 + ... + 7775.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 227112944 is an apocalyptic number.

27112944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27112944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

27112944 is an abundant number, since it is smaller than the sum of its proper divisors (43596816).

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

27112944 is a wasteful number, since it uses less digits than its factorization.

27112944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397 (or 5391 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 27112944 is about 5207.0091223273. The cubic root of 27112944 is about 300.4177291822.

The spelling of 27112944 in words is "twenty-seven million, one hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 5279 10558 15837 21116 31674 42232 63348 84464 126696 253392 564853 1129706 1694559 2259412 3389118 4518824 6778236 9037648 13556472 27112944