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27693428 = 2272229617
BaseRepresentation
bin110100110100…
…1000101110100
31221002222020112
41221221011310
524042142203
62425322152
7454250600
oct151510564
957088215
1027693428
11146a5534
129336358
135978159
14396c500
1526706d8
hex1a69174

27693428 has 36 divisors (see below), whose sum is σ = 56713860. Its totient is φ = 11797632.

The previous prime is 27693397. The next prime is 27693433. The reversal of 27693428 is 82439672.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12545764 + 15147664 = 3542^2 + 3892^2 .

Its product of digits (145152) is a multiple of the sum of its prime factors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44576 + ... + 45192.

It is an arithmetic number, because the mean of its divisors is an integer number (1575385).

Almost surely, 227693428 is an apocalyptic number.

27693428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27693428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28356930).

27693428 is an abundant number, since it is smaller than the sum of its proper divisors (29020432).

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

27693428 is a wasteful number, since it uses less digits than its factorization.

27693428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 27693428 is about 5262.4545603739. The cubic root of 27693428 is about 302.5465738913.

The spelling of 27693428 in words is "twenty-seven million, six hundred ninety-three thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 229 458 617 916 1234 1603 2468 3206 4319 6412 8638 11221 17276 22442 30233 44884 60466 120932 141293 282586 565172 989051 1978102 3956204 6923357 13846714 27693428