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27748014 = 237397139
BaseRepresentation
bin110100111011…
…0011010101110
31221012202010020
41221312122232
524100414024
62430423010
7454566000
oct151663256
957182106
1027748014
1114732548
129361a66
135996c58
143984370
152681979
hex1a766ae

27748014 has 64 divisors (see below), whose sum is σ = 65856000. Its totient is φ = 7789824.

The previous prime is 27748013. The next prime is 27748031. The reversal of 27748014 is 41084772.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27748013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199557 + ... + 199695.

It is an arithmetic number, because the mean of its divisors is an integer number (1029000).

Almost surely, 227748014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27748014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32928000).

27748014 is an abundant number, since it is smaller than the sum of its proper divisors (38107986).

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

27748014 is a wasteful number, since it uses less digits than its factorization.

27748014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 27748014 is about 5267.6383702756. The cubic root of 27748014 is about 302.7452247345.

It can be divided in two parts, 2 and 7748014, that added together give a triangular number (7748016 = T3936).

The spelling of 27748014 in words is "twenty-seven million, seven hundred forty-eight thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 97 98 139 147 194 278 291 294 343 417 582 679 686 834 973 1029 1358 1946 2037 2058 2919 4074 4753 5838 6811 9506 13483 13622 14259 20433 26966 28518 33271 40449 40866 47677 66542 80898 94381 95354 99813 143031 188762 199626 283143 286062 566286 660667 1321334 1982001 3964002 4624669 9249338 13874007 27748014