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27545056 = 2572111597
BaseRepresentation
bin110100100010…
…0110111100000
31220211102201021
41221010313200
524022420211
62422215224
7453062200
oct151046740
956742637
1027545056
1114604010
129284514
135925766
143930400
152641771
hex1a44de0

27545056 has 72 divisors (see below), whose sum is σ = 68861016. Its totient is φ = 10725120.

The previous prime is 27545047. The next prime is 27545059. The reversal of 27545056 is 65054572.

It is a super-2 number, since 2×275450562 = 1517460220086272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27545059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16450 + ... + 18046.

It is an arithmetic number, because the mean of its divisors is an integer number (956403).

Almost surely, 227545056 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 27545056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34430508).

27545056 is an abundant number, since it is smaller than the sum of its proper divisors (41315960).

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

27545056 is a wasteful number, since it uses less digits than its factorization.

27545056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 27545056 is about 5248.3384037236. The cubic root of 27545056 is about 302.0052920728.

It can be divided in two parts, 275 and 45056, that multiplied together give a square (12390400 = 35202).

The spelling of 27545056 in words is "twenty-seven million, five hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 1597 2156 2464 3194 4312 6388 8624 11179 12776 17248 17567 22358 25552 35134 44716 51104 70268 78253 89432 122969 140536 156506 178864 245938 281072 313012 357728 491876 562144 626024 860783 983752 1252048 1721566 1967504 2504096 3443132 3935008 6886264 13772528 27545056