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27684444 = 22319295379
BaseRepresentation
bin110100110011…
…0111001011100
31221002111220210
41221212321130
524041400234
62425212420
7454212444
oct151467134
957074823
1027684444
1114699807
129331110
135974038
143969124
15266cbe9
hex1a66e5c

27684444 has 96 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 8176896.

The previous prime is 27684439. The next prime is 27684451. The reversal of 27684444 is 44448672.

27684444 is a modest number, since divided by 4444 gives 2768 as remainder.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350397 + ... + 350475.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 227684444 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 27684444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

27684444 is an abundant number, since it is smaller than the sum of its proper divisors (44891556).

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

27684444 is a wasteful number, since it uses less digits than its factorization.

27684444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 27684444 is about 5261.6008970655. The cubic root of 27684444 is about 302.5138540658.

The spelling of 27684444 in words is "twenty-seven million, six hundred eighty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 29 38 53 57 58 76 79 87 106 114 116 158 159 174 212 228 237 316 318 348 474 551 636 948 1007 1102 1501 1537 1653 2014 2204 2291 3002 3021 3074 3306 4028 4187 4503 4582 4611 6004 6042 6148 6612 6873 8374 9006 9164 9222 12084 12561 13746 16748 18012 18444 25122 27492 29203 43529 50244 58406 79553 87058 87609 116812 121423 130587 159106 174116 175218 238659 242846 261174 318212 350436 364269 477318 485692 522348 728538 954636 1457076 2307037 4614074 6921111 9228148 13842222 27684444