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27050816 = 261324161
BaseRepresentation
bin110011100110…
…0001101000000
31212220022202002
41213030031000
523411111231
62403443132
7445633232
oct147141500
955808662
1027050816
11142a6751
1290864a8
1357b1800
143842252
1525950cb
hex19cc340

27050816 has 84 divisors (see below), whose sum is σ = 60519564. Its totient is φ = 11980800.

The previous prime is 27050797. The next prime is 27050819. The reversal of 27050816 is 61805072.

27050816 = T219 + T220 + ... + T556.

It can be written as a sum of positive squares in 6 ways, for example, as 18524416 + 8526400 = 4304^2 + 2920^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27050819) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443426 + ... + 443486.

It is an arithmetic number, because the mean of its divisors is an integer number (720471).

Almost surely, 227050816 is an apocalyptic number.

27050816 is a gapful number since it is divisible by the number (26) 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 27050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30259782).

27050816 is an abundant number, since it is smaller than the sum of its proper divisors (33468748).

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

27050816 is a wasteful number, since it uses less digits than its factorization.

27050816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 27050816 is about 5201.0398960208. The cubic root of 27050816 is about 300.1880894573.

Adding to 27050816 its reverse (61805072), we get a palindrome (88855888).

The spelling of 27050816 in words is "twenty-seven million, fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 41 52 61 64 82 104 122 164 169 208 244 328 338 416 488 533 656 676 793 832 976 1066 1312 1352 1586 1952 2132 2501 2624 2704 3172 3904 4264 5002 5408 6344 6929 8528 10004 10309 10816 12688 13858 17056 20008 20618 25376 27716 32513 34112 40016 41236 50752 55432 65026 80032 82472 110864 130052 160064 164944 221728 260104 329888 422669 443456 520208 659776 845338 1040416 1690676 2080832 3381352 6762704 13525408 27050816