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27964368 = 2432194197
BaseRepresentation
bin110101010101…
…1001111010000
31221121201220100
41222223033100
524124324433
62435212400
7456456525
oct152531720
957551810
1027964368
1114870053
129447100
135a41583
1439dd14c
1526c5b13
hex1aab3d0

27964368 has 30 divisors (see below), whose sum is σ = 78261794. Its totient is φ = 9321408.

The previous prime is 27964361. The next prime is 27964373. The reversal of 27964368 is 86346972.

It can be written as a sum of positive squares in only one way, i.e., 24681024 + 3283344 = 4968^2 + 1812^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27964361) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 96955 + ... + 97242.

Almost surely, 227964368 is an apocalyptic number.

It is an amenable number.

27964368 is an abundant number, since it is smaller than the sum of its proper divisors (50297426).

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

27964368 is a wasteful number, since it uses less digits than its factorization.

27964368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194211 (or 194202 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 27964368 is about 5288.1346427639. The cubic root of 27964368 is about 303.5300332971.

The spelling of 27964368 in words is "twenty-seven million, nine hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 194197 388394 582591 776788 1165182 1553576 1747773 2330364 3107152 3495546 4660728 6991092 9321456 13982184 27964368