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27668088 = 2333729631
BaseRepresentation
bin110100110001…
…0111001111000
31221001200111000
41221202321320
524040334323
62425005000
7454113660
oct151427170
957050430
1027668088
1114688498
129323760
135969766
1439631a0
152667e43
hex1a62e78

27668088 has 128 divisors (see below), whose sum is σ = 91008000. Its totient is φ = 7620480.

The previous prime is 27668033. The next prime is 27668099. The reversal of 27668088 is 88086672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43533 + ... + 44163.

It is an arithmetic number, because the mean of its divisors is an integer number (711000).

Almost surely, 227668088 is an apocalyptic number.

27668088 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 27668088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45504000).

27668088 is an abundant number, since it is smaller than the sum of its proper divisors (63339912).

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

27668088 is a wasteful number, since it uses less digits than its factorization.

27668088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 27668088 is about 5260.0463876282. The cubic root of 27668088 is about 302.4542671569.

The spelling of 27668088 in words is "twenty-seven million, six hundred sixty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 631 696 756 783 812 1044 1218 1262 1512 1566 1624 1827 1893 2088 2436 2524 3132 3654 3786 4417 4872 5048 5481 5679 6264 7308 7572 8834 10962 11358 13251 14616 15144 17037 17668 18299 21924 22716 26502 34074 35336 36598 39753 43848 45432 53004 54897 68148 73196 79506 106008 109794 119259 128093 136296 146392 159012 164691 219588 238518 256186 318024 329382 384279 439176 477036 494073 512372 658764 768558 954072 988146 1024744 1152837 1317528 1537116 1976292 2305674 3074232 3458511 3952584 4611348 6917022 9222696 13834044 27668088