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248918625 = 3253221261
BaseRepresentation
bin11101101011000…
…11001001100001
3122100101101011100
432311203021201
51002210344000
640411105013
76111526164
oct1665431141
9570341140
10248918625
1111856527a
126b442169
133c754437
14250b7adb
1516cbda00
hexed63261

248918625 has 24 divisors (see below), whose sum is σ = 448719336. Its totient is φ = 132756000.

The previous prime is 248918617. The next prime is 248918669. The reversal of 248918625 is 526819842.

248918625 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 18 + 625 = 666.

248918625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4809249 + 244109376 = 2193^2 + 15624^2 .

It is not a de Polignac number, because 248918625 - 23 = 248918617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109506 + ... + 111755.

It is an arithmetic number, because the mean of its divisors is an integer number (18696639).

Almost surely, 2248918625 is an apocalyptic number.

248918625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248918625 is a deficient number, since it is larger than the sum of its proper divisors (199800711).

248918625 is a wasteful number, since it uses less digits than its factorization.

248918625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221282 (or 221269 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 248918625 is about 15777.1551618155. The cubic root of 248918625 is about 629.0509140932.

The spelling of 248918625 in words is "two hundred forty-eight million, nine hundred eighteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 221261 663783 1106305 1991349 3318915 5531525 9956745 16594575 27657625 49783725 82972875 248918625