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27089408 = 29157337
BaseRepresentation
bin110011101010…
…1101000000000
31212222021200102
41213111220000
523413330113
62404341532
7446153603
oct147255000
955867612
1027089408
1114322745
1290a48a8
1357c6248
14385233a
1525a1758
hex19d5a00

27089408 has 40 divisors (see below), whose sum is σ = 54632292. Its totient is φ = 13418496.

The previous prime is 27089407. The next prime is 27089453. The reversal of 27089408 is 80498072.

It can be written as a sum of positive squares in 2 ways, for example, as 25725184 + 1364224 = 5072^2 + 1168^2 .

It is not an unprimeable number, because it can be changed into a prime (27089401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80216 + ... + 80552.

Almost surely, 227089408 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 27089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27316146).

27089408 is an abundant number, since it is smaller than the sum of its proper divisors (27542884).

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

27089408 is an equidigital number, since it uses as much as digits as its factorization.

27089408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 27089408 is about 5204.7486010373. The cubic root of 27089408 is about 300.3307758977.

The spelling of 27089408 in words is "twenty-seven million, eighty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 337 512 628 674 1256 1348 2512 2696 5024 5392 10048 10784 20096 21568 40192 43136 52909 80384 86272 105818 172544 211636 423272 846544 1693088 3386176 6772352 13544704 27089408