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27688332 = 22374312
BaseRepresentation
bin110100110011…
…1110110001100
31221002201020210
41221213312030
524042011312
62425242420
7454230000
oct151476614
957081223
1027688332
11146a1721
129333410
135975a39
14396a700
15266de3c
hex1a67d8c

27688332 has 90 divisors (see below), whose sum is σ = 77879004. Its totient is φ = 7655760.

The previous prime is 27688303. The next prime is 27688333. The reversal of 27688332 is 23388672.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27688333) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 893157 + ... + 893187.

Almost surely, 227688332 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 27688332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38939502).

27688332 is an abundant number, since it is smaller than the sum of its proper divisors (50190672).

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

27688332 is an equidigital number, since it uses as much as digits as its factorization.

27688332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 43 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 27688332 is about 5261.9703533942. The cubic root of 27688332 is about 302.5280150727.

The spelling of 27688332 in words is "twenty-seven million, six hundred eighty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 343 372 434 588 651 686 868 961 1029 1302 1372 1519 1922 2058 2401 2604 2883 3038 3844 4116 4557 4802 5766 6076 6727 7203 9114 9604 10633 11532 13454 14406 18228 20181 21266 26908 28812 31899 40362 42532 47089 63798 74431 80724 94178 127596 141267 148862 188356 223293 282534 297724 329623 446586 565068 659246 893172 988869 1318492 1977738 2307361 3955476 4614722 6922083 9229444 13844166 27688332