Search a number
-
+
248130528 = 2532584693
BaseRepresentation
bin11101100101000…
…10101111100000
3122021220100002120
432302202233200
51002010134103
640342144240
76102034422
oct1662425740
9567810076
10248130528
11118077158
126b122080
133c5397c9
1424d50812
1516bb5253
hexeca2be0

248130528 has 24 divisors (see below), whose sum is σ = 651342888. Its totient is φ = 82710144.

The previous prime is 248130527. The next prime is 248130529. The reversal of 248130528 is 825031842.

248130528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248130527) and next prime (248130529).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248130527) 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, 1292251 + ... + 1292442.

It is an arithmetic number, because the mean of its divisors is an integer number (27139287).

Almost surely, 2248130528 is an apocalyptic number.

It is an amenable number.

248130528 is an abundant number, since it is smaller than the sum of its proper divisors (403212360).

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

248130528 is a wasteful number, since it uses less digits than its factorization.

248130528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584706 (or 2584698 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 248130528 is about 15752.1594710059. The cubic root of 248130528 is about 628.3863364507.

The spelling of 248130528 in words is "two hundred forty-eight million, one hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2584693 5169386 7754079 10338772 15508158 20677544 31016316 41355088 62032632 82710176 124065264 248130528