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27292132 = 2271929261
BaseRepresentation
bin110100000011…
…1000111100100
31220100120202201
41220013013210
523441322012
62412544244
7450656620
oct150070744
956316681
1027292132
1114450a8a
129182084
1358675ba
1438a6180
1525e1857
hex1a071e4

27292132 has 72 divisors (see below), whose sum is σ = 60482240. Its totient is φ = 10523520.

The previous prime is 27292129. The next prime is 27292141. The reversal of 27292132 is 23129272.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 27292132.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 447382 + ... + 447442.

Almost surely, 227292132 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 27292132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30241120).

27292132 is an abundant number, since it is smaller than the sum of its proper divisors (33190108).

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

27292132 is a wasteful number, since it uses less digits than its factorization.

27292132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 27292132 is about 5224.1872095092. The cubic root of 27292132 is about 301.0780914588.

The spelling of 27292132 in words is "twenty-seven million, two hundred ninety-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 29 38 58 61 76 116 122 133 203 244 266 406 427 532 551 812 841 854 1102 1159 1682 1708 1769 2204 2318 3364 3538 3857 4636 5887 7076 7714 8113 11774 12383 15428 15979 16226 23548 24766 31958 32452 33611 49532 51301 63916 67222 102602 111853 134444 205204 223706 235277 359107 447412 470554 718214 941108 974719 1436428 1949438 3898876 6823033 13646066 27292132