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27492416 = 267109563
BaseRepresentation
bin110100011100…
…0000001000000
31220201202111122
41220320001000
524014224131
62421131412
7452452550
oct150700100
956652448
1027492416
1114578506
129259b68
135907803
143919160
152630d7b
hex1a38040

27492416 has 56 divisors (see below), whose sum is σ = 63032640. Its totient is φ = 11653632.

The previous prime is 27492401. The next prime is 27492433. The reversal of 27492416 is 61429472.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48551 + ... + 49113.

Almost surely, 227492416 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 27492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31516320).

27492416 is an abundant number, since it is smaller than the sum of its proper divisors (35540224).

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

27492416 is a wasteful number, since it uses less digits than its factorization.

27492416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 27492416 is about 5243.3210849613. The cubic root of 27492416 is about 301.8127869114.

The spelling of 27492416 in words is "twenty-seven million, four hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 563 763 872 1126 1526 1744 2252 3052 3488 3941 4504 6104 6976 7882 9008 12208 15764 18016 24416 31528 36032 48832 61367 63056 122734 126112 245468 252224 429569 490936 859138 981872 1718276 1963744 3436552 3927488 6873104 13746208 27492416