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27034944 = 2631391013
BaseRepresentation
bin110011100100…
…0010101000000
31212212111222020
41213020111000
523410104234
62403241440
7445536036
oct147102500
955774866
1027034944
1114295832
129079280
1357a7511
14383a556
152590549
hex19c8540

27034944 has 56 divisors (see below), whose sum is σ = 72115680. Its totient is φ = 8937984.

The previous prime is 27034939. The next prime is 27034979. The reversal of 27034944 is 44943072.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 26182 + ... + 27194.

It is an arithmetic number, because the mean of its divisors is an integer number (1287780).

Almost surely, 227034944 is an apocalyptic number.

27034944 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 27034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36057840).

27034944 is an abundant number, since it is smaller than the sum of its proper divisors (45080736).

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

27034944 is a wasteful number, since it uses less digits than its factorization.

27034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 27034944 is about 5199.5138234262. The cubic root of 27034944 is about 300.1293664286.

The spelling of 27034944 in words is "twenty-seven million, thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1013 1112 1668 2026 2224 3039 3336 4052 4448 6078 6672 8104 8896 12156 13344 16208 24312 26688 32416 48624 64832 97248 140807 194496 281614 422421 563228 844842 1126456 1689684 2252912 3379368 4505824 6758736 9011648 13517472 27034944