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27013344 = 253475987
BaseRepresentation
bin110011100001…
…1000011100000
31212211102100020
41213003003200
523403411334
62402553440
7445416051
oct147030340
955742306
1027013344
1114280586
129068880
13579a737
143832728
152588e49
hex19c30e0

27013344 has 48 divisors (see below), whose sum is σ = 72430848. Its totient is φ = 8811392.

The previous prime is 27013313. The next prime is 27013351. The reversal of 27013344 is 44331072.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a zygodrome in base 2.

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, 1519 + ... + 7505.

It is an arithmetic number, because the mean of its divisors is an integer number (1508976).

Almost surely, 227013344 is an apocalyptic number.

27013344 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 27013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36215424).

27013344 is an abundant number, since it is smaller than the sum of its proper divisors (45417504).

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

27013344 is a wasteful number, since it uses less digits than its factorization.

27013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 27013344 is about 5197.4362910958. The cubic root of 27013344 is about 300.0494140826.

The spelling of 27013344 in words is "twenty-seven million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 5987 11974 17961 23948 35922 47896 71844 95792 143688 191584 281389 287376 562778 574752 844167 1125556 1688334 2251112 3376668 4502224 6753336 9004448 13506672 27013344