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27993588 = 22371512207
BaseRepresentation
bin110101011001…
…0010111110100
31221200012222120
41222302113310
524131243323
62435555540
7456640650
oct152622764
957605876
1027993588
111488aaa7
12945bbb0
135a5196c
143a09a60
1526ce5e3
hex1ab25f4

27993588 has 48 divisors (see below), whose sum is σ = 75177984. Its totient is φ = 7941600.

The previous prime is 27993587. The next prime is 27993601. The reversal of 27993588 is 88539972.

It is a super-2 number, since 2×279935882 = 1567281938227488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27993588.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27993583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11581 + ... + 13787.

It is an arithmetic number, because the mean of its divisors is an integer number (1566208).

Almost surely, 227993588 is an apocalyptic number.

27993588 is a gapful number since it is divisible by the number (28) 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 27993588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37588992).

27993588 is an abundant number, since it is smaller than the sum of its proper divisors (47184396).

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

27993588 is a wasteful number, since it uses less digits than its factorization.

27993588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2370 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 27993588 is about 5290.8967103885. The cubic root of 27993588 is about 303.6357161222.

The spelling of 27993588 in words is "twenty-seven million, nine hundred ninety-three thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1812 2114 2207 3171 4228 4414 6342 6621 8828 12684 13242 15449 26484 30898 46347 61796 92694 185388 333257 666514 999771 1333028 1999542 2332799 3999084 4665598 6998397 9331196 13996794 27993588