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27429666 = 2311676203
BaseRepresentation
bin110100010100…
…0101100100010
31220121120102120
41220220230202
524010222131
62415525110
7452101605
oct150505442
956546376
1027429666
1114535350
129229796
1358b5094
14390033c
15261c496
hex1a28b22

27429666 has 32 divisors (see below), whose sum is σ = 60749568. Its totient is φ = 8186640.

The previous prime is 27429641. The next prime is 27429667. The reversal of 27429666 is 66692472.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27429667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1321 + ... + 7523.

It is an arithmetic number, because the mean of its divisors is an integer number (1898424).

Almost surely, 227429666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27429666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30374784).

27429666 is an abundant number, since it is smaller than the sum of its proper divisors (33319902).

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

27429666 is a wasteful number, since it uses less digits than its factorization.

27429666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286.

The product of its digits is 217728, while the sum is 42.

The square root of 27429666 is about 5237.3338637135. Note that the first 3 decimals coincide. The cubic root of 27429666 is about 301.5829880270.

The spelling of 27429666 in words is "twenty-seven million, four hundred twenty-nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1474 2211 4422 6203 12406 18609 37218 68233 136466 204699 409398 415601 831202 1246803 2493606 4571611 9143222 13714833 27429666