Search a number
-
+
27741056 = 27724423
BaseRepresentation
bin110100111010…
…0101110000000
31221012101120112
41221310232000
524100203211
62430330452
7454536500
oct151645600
957171515
1027741056
11147282a2
129359a28
135993a35
143981a00
15267e88b
hex1a74b80

27741056 has 48 divisors (see below), whose sum is σ = 64302840. Its totient is φ = 11886336.

The previous prime is 27741053. The next prime is 27741061. The reversal of 27741056 is 65014772.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27741053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4061 + ... + 8483.

Almost surely, 227741056 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 27741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32151420).

27741056 is an abundant number, since it is smaller than the sum of its proper divisors (36561784).

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

27741056 is an equidigital number, since it uses as much as digits as its factorization.

27741056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 27741056 is about 5266.9778811003. The cubic root of 27741056 is about 302.7199174894.

The spelling of 27741056 in words is "twenty-seven million, seven hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 4423 6272 8846 17692 30961 35384 61922 70768 123844 141536 216727 247688 283072 433454 495376 566144 866908 990752 1733816 1981504 3467632 3963008 6935264 13870528 27741056