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27114528 = 2537157257
BaseRepresentation
bin110011101101…
…1110000100000
31220000120010210
41213123300200
523420131103
62405054120
7446320050
oct147336040
956016123
1027114528
111433a601
1290b7340
1358047cc
14385b560
1525a8e03
hex19dbc20

27114528 has 96 divisors (see below), whose sum is σ = 82180224. Its totient is φ = 7667712.

The previous prime is 27114509. The next prime is 27114559. The reversal of 27114528 is 82541172.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 27114495 and 27114504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105376 + ... + 105632.

It is an arithmetic number, because the mean of its divisors is an integer number (856044).

Almost surely, 227114528 is an apocalyptic number.

27114528 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 27114528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41090112).

27114528 is an abundant number, since it is smaller than the sum of its proper divisors (55065696).

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

27114528 is a wasteful number, since it uses less digits than its factorization.

27114528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 27114528 is about 5207.1612227777. The cubic root of 27114528 is about 300.4235794312.

The spelling of 27114528 in words is "twenty-seven million, one hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 157 168 224 257 314 336 471 514 628 672 771 942 1028 1099 1256 1542 1799 1884 2056 2198 2512 3084 3297 3598 3768 4112 4396 5024 5397 6168 6594 7196 7536 8224 8792 10794 12336 13188 14392 15072 17584 21588 24672 26376 28784 35168 40349 43176 52752 57568 80698 86352 105504 121047 161396 172704 242094 282443 322792 484188 564886 645584 847329 968376 1129772 1291168 1694658 1936752 2259544 3389316 3873504 4519088 6778632 9038176 13557264 27114528