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27685242 = 23213219479
BaseRepresentation
bin110100110011…
…1000101111010
31221002120000100
41221213011322
524041411432
62425220230
7454214664
oct151470572
957076010
1027685242
111469a372
129331676
135974500
143969534
15266d07c
hex1a6717a

27685242 has 72 divisors (see below), whose sum is σ = 68515200. Its totient is φ = 8053344.

The previous prime is 27685199. The next prime is 27685253. The reversal of 27685242 is 24258672.

It is a junction number, because it is equal to n+sod(n) for n = 27685197 and 27685206.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57559 + ... + 58037.

It is an arithmetic number, because the mean of its divisors is an integer number (951600).

Almost surely, 227685242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27685242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34257600).

27685242 is an abundant number, since it is smaller than the sum of its proper divisors (40829958).

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

27685242 is a wasteful number, since it uses less digits than its factorization.

27685242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 27685242 is about 5261.6767289525. The cubic root of 27685242 is about 302.5167606769.

The spelling of 27685242 in words is "twenty-seven million, six hundred eighty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 234 247 338 342 479 494 507 741 958 1014 1437 1482 1521 2223 2874 3042 3211 4311 4446 6227 6422 8622 9101 9633 12454 18202 18681 19266 27303 28899 37362 54606 56043 57798 80951 81909 112086 118313 161902 163818 236626 242853 354939 485706 709878 728559 1064817 1457118 1538069 2129634 3076138 4614207 9228414 13842621 27685242