Search a number
-
+
27261728 = 25132712
BaseRepresentation
bin110011111111…
…1101100100000
31220022001001122
41213333230200
523434333403
62412151412
7450502154
oct147775440
956261048
1027261728
111443015a
129168568
135856800
143899064
1525d7838
hex19ffb20

27261728 has 54 divisors (see below), whose sum is σ = 58947777. Its totient is φ = 12405120.

The previous prime is 27261719. The next prime is 27261733. The reversal of 27261728 is 82716272.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 23309584 + 3952144 = 4828^2 + 1988^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3692.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 383933 + ... + 384003.

Almost surely, 227261728 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 27261728

27261728 is an abundant number, since it is smaller than the sum of its proper divisors (31686049).

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

27261728 is an equidigital number, since it uses as much as digits as its factorization.

27261728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 86 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 27261728 is about 5221.2764722815. The cubic root of 27261728 is about 300.9662475076.

The spelling of 27261728 in words is "twenty-seven million, two hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 169 208 284 338 416 568 676 923 1136 1352 1846 2272 2704 3692 5041 5408 7384 10082 11999 14768 20164 23998 29536 40328 47996 65533 80656 95992 131066 161312 191984 262132 383968 524264 851929 1048528 1703858 2097056 3407716 6815432 13630864 27261728