Search a number
-
+
249152128 = 271946501
BaseRepresentation
bin11101101100111…
…00001010000000
3122100211020110121
432312130022000
51002240332003
640420110024
76113521021
oct1666341200
9570736417
10249152128
11118704755
126b535314
133c8067c4
1425138c48
1516d17cbd
hexed9c280

249152128 has 16 divisors (see below), whose sum is σ = 496358010. Its totient is φ = 124576000.

The previous prime is 249152089. The next prime is 249152129. The reversal of 249152128 is 821251942.

It can be written as a sum of positive squares in only one way, i.e., 233722944 + 15429184 = 15288^2 + 3928^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 249152093 and 249152102.

It is not an unprimeable number, because it can be changed into a prime (249152129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 973123 + ... + 973378.

Almost surely, 2249152128 is an apocalyptic number.

It is an amenable number.

249152128 is a deficient number, since it is larger than the sum of its proper divisors (247205882).

249152128 is an equidigital number, since it uses as much as digits as its factorization.

249152128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946515 (or 1946503 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 249152128 is about 15784.5534621667. The cubic root of 249152128 is about 629.2475504705.

The spelling of 249152128 in words is "two hundred forty-nine million, one hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 1946501 3893002 7786004 15572008 31144016 62288032 124576064 249152128