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27855945 = 32513172801
BaseRepresentation
bin110101001000…
…0110001001001
31221102020011200
41222100301021
524112342240
62433014413
7455525445
oct152206111
957366150
1027855945
11147a6647
1293b4409
135a04110
1439b1825
1526a3930
hex1a90c49

27855945 has 48 divisors (see below), whose sum is σ = 55076112. Its totient is φ = 12902400.

The previous prime is 27855929. The next prime is 27855983. The reversal of 27855945 is 54955872.

It can be written as a sum of positive squares in 8 ways, for example, as 356409 + 27499536 = 597^2 + 5244^2 .

It is not a de Polignac number, because 27855945 - 24 = 27855929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 27855945.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8545 + ... + 11345.

It is an arithmetic number, because the mean of its divisors is an integer number (1147419).

Almost surely, 227855945 is an apocalyptic number.

It is an amenable number.

27855945 is a deficient number, since it is larger than the sum of its proper divisors (27220167).

27855945 is a wasteful number, since it uses less digits than its factorization.

27855945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2839 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 27855945 is about 5277.8731511850. The cubic root of 27855945 is about 303.1372446253.

The spelling of 27855945 in words is "twenty-seven million, eight hundred fifty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 585 663 765 1105 1989 2801 3315 8403 9945 14005 25209 36413 42015 47617 109239 126045 142851 182065 238085 327717 428553 546195 619021 714255 1638585 1857063 2142765 3095105 5571189 9285315 27855945