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27988064 = 2513193541
BaseRepresentation
bin110101011000…
…1000001100000
31221122221101222
41222301001200
524131104224
62435514212
7456615566
oct152610140
957587358
1027988064
1114886935
129458968
135a4c2b0
143a07a36
1526ccb5e
hex1ab1060

27988064 has 48 divisors (see below), whose sum is σ = 62480880. Its totient is φ = 12234240.

The previous prime is 27988049. The next prime is 27988091. The reversal of 27988064 is 46088972.

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, 6134 + ... + 9674.

It is an arithmetic number, because the mean of its divisors is an integer number (1301685).

Almost surely, 227988064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27988064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31240440).

27988064 is an abundant number, since it is smaller than the sum of its proper divisors (34492816).

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

27988064 is a wasteful number, since it uses less digits than its factorization.

27988064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 27988064 is about 5290.3746559199. The cubic root of 27988064 is about 303.6157425716.

The spelling of 27988064 in words is "twenty-seven million, nine hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3541 3952 7082 7904 14164 28328 46033 56656 67279 92066 113312 134558 184132 269116 368264 538232 736528 874627 1076464 1473056 1749254 2152928 3498508 6997016 13994032 27988064