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27969368 = 2371997271
BaseRepresentation
bin110101010110…
…0011101011000
31221121222202112
41222230131120
524130004433
62435251452
7456510230
oct152543530
957558675
1027969368
1114873889
129449b88
135a4392b
143a00cc0
1526c7348
hex1aac758

27969368 has 64 divisors (see below), whose sum is σ = 63974400. Its totient is φ = 11197440.

The previous prime is 27969353. The next prime is 27969377. The reversal of 27969368 is 86396972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103073 + ... + 103343.

It is an arithmetic number, because the mean of its divisors is an integer number (999600).

Almost surely, 227969368 is an apocalyptic number.

27969368 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 27969368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31987200).

27969368 is an abundant number, since it is smaller than the sum of its proper divisors (36005032).

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

27969368 is a wasteful number, since it uses less digits than its factorization.

27969368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The square root of 27969368 is about 5288.6073781290. The cubic root of 27969368 is about 303.5481225041.

The spelling of 27969368 in words is "twenty-seven million, nine hundred sixty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 97 133 152 194 266 271 388 532 542 679 776 1064 1084 1358 1843 1897 2168 2716 3686 3794 5149 5432 7372 7588 10298 12901 14744 15176 20596 25802 26287 36043 41192 51604 52574 72086 103208 105148 144172 184009 210296 288344 368018 499453 736036 998906 1472072 1997812 3496171 3995624 6992342 13984684 27969368