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28146132 = 22327611831
BaseRepresentation
bin110101101011…
…1100111010100
31221221222020100
41223113213110
524201134012
62443134100
7461144460
oct153274724
957858210
1028146132
1114984673
129514330
135aa6221
143a494a0
15270e8dc
hex1ad79d4

28146132 has 72 divisors (see below), whose sum is σ = 82689152. Its totient is φ = 7905600.

The previous prime is 28146119. The next prime is 28146179. The reversal of 28146132 is 23164182.

It is a super-2 number, since 2×281461322 = 1584409493122848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28146096 and 28146105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14457 + ... + 16287.

Almost surely, 228146132 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 28146132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41344576).

28146132 is an abundant number, since it is smaller than the sum of its proper divisors (54543020).

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

28146132 is a wasteful number, since it uses less digits than its factorization.

28146132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1904 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 28146132 is about 5305.2928288644. The cubic root of 28146132 is about 304.1862460989.

The spelling of 28146132 in words is "twenty-eight million, one hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 1831 2196 2562 3662 3843 5124 5493 7324 7686 10986 12817 15372 16479 21972 25634 32958 38451 51268 65916 76902 111691 115353 153804 223382 230706 335073 446764 461412 670146 781837 1005219 1340292 1563674 2010438 2345511 3127348 4020876 4691022 7036533 9382044 14073066 28146132