Search a number
-
+
27982848 = 21039109
BaseRepresentation
bin110101010111…
…1110000000000
31221122200020210
41222233300000
524130422343
62435434120
7456564435
oct152576000
957580223
1027982848
1114882a23
129455940
135a49aca
143a05b8c
1526cb333
hex1aafc00

27982848 has 44 divisors (see below), whose sum is σ = 74592680. Its totient is φ = 9326592.

The previous prime is 27982831. The next prime is 27982849. The reversal of 27982848 is 84828972.

It is a super-2 number, since 2×279828482 = 1566079564382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 27982797 and 27982806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27982849) 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 3 ways as a sum of consecutive naturals, for example, 1483 + ... + 7626.

Almost surely, 227982848 is an apocalyptic number.

It is an amenable number.

27982848 is an abundant number, since it is smaller than the sum of its proper divisors (46609832).

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

27982848 is an equidigital number, since it uses as much as digits as its factorization.

27982848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9114 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 27982848 is about 5289.8816621925. The cubic root of 27982848 is about 303.5968802678.

The spelling of 27982848 in words is "twenty-seven million, nine hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 9109 18218 27327 36436 54654 72872 109308 145744 218616 291488 437232 582976 874464 1165952 1748928 2331904 3497856 4663808 6995712 9327616 13991424 27982848