Search a number
-
+
27258112 = 28724153
BaseRepresentation
bin110011111111…
…0110100000000
31220021212002201
41213332310000
523434224422
62412122544
7450455500
oct147766400
956255081
1027258112
1114428472
129166454
135854c7b
143897a00
1525d6727
hex19fed00

27258112 has 108 divisors (see below), whose sum is σ = 66060036. Its totient is φ = 11182080.

The previous prime is 27258061. The next prime is 27258131. The reversal of 27258112 is 21185272.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 18113536 = 3024^2 + 4256^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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 11 ways as a sum of consecutive naturals, for example, 514278 + ... + 514330.

It is an arithmetic number, because the mean of its divisors is an integer number (611667).

Almost surely, 227258112 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 27258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030018).

27258112 is an abundant number, since it is smaller than the sum of its proper divisors (38801924).

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

27258112 is an equidigital number, since it uses as much as digits as its factorization.

27258112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its digits is 2240, while the sum is 28.

The square root of 27258112 is about 5220.9301853214. The cubic root of 27258112 is about 300.9529401820.

The spelling of 27258112 in words is "twenty-seven million, two hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 53 56 64 82 98 106 112 128 164 196 212 224 256 287 328 371 392 424 448 574 656 742 784 848 896 1148 1312 1484 1568 1696 1792 2009 2173 2296 2597 2624 2968 3136 3392 4018 4346 4592 5194 5248 5936 6272 6784 8036 8692 9184 10388 10496 11872 12544 13568 15211 16072 17384 18368 20776 23744 30422 32144 34768 36736 41552 47488 60844 64288 69536 73472 83104 94976 106477 121688 128576 139072 166208 212954 243376 257152 278144 332416 425908 486752 514304 556288 664832 851816 973504 1703632 1947008 3407264 3894016 6814528 13629056 27258112