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27068352 = 263178293
BaseRepresentation
bin110011101000…
…0011111000000
31212221012210120
41213100133000
523412141402
62404100240
7446035323
oct147203700
955835716
1027068352
1114308943
129094680
1357b979c
1438487ba
15259a3bc
hex19d07c0

27068352 has 56 divisors (see below), whose sum is σ = 75840336. Its totient is φ = 8491008.

The previous prime is 27068351. The next prime is 27068357. The reversal of 27068352 is 25386072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27068351) 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 7 ways as a sum of consecutive naturals, for example, 883 + ... + 7410.

Almost surely, 227068352 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 27068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37920168).

27068352 is an abundant number, since it is smaller than the sum of its proper divisors (48771984).

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

27068352 is a wasteful number, since it uses less digits than its factorization.

27068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 27068352 is about 5202.7254396134. The cubic root of 27068352 is about 300.2529422297.

The spelling of 27068352 in words is "twenty-seven million, sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 8293 16586 24879 33172 49758 66344 99516 132688 140981 199032 265376 281962 398064 422943 530752 563924 796128 845886 1127848 1592256 1691772 2255696 3383544 4511392 6767088 9022784 13534176 27068352