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248238949 = 7222212281
BaseRepresentation
bin11101100101111…
…01001101100101
3122022002211211011
432302331031211
51002022121244
640344342221
76102665500
oct1662751545
9568084734
10248238949
11118140662
126b174971
133c576c6a
1424d7c137
1516bd7434
hexecbd365

248238949 has 12 divisors (see below), whose sum is σ = 289024428. Its totient is φ = 212587200.

The previous prime is 248238941. The next prime is 248238959. The reversal of 248238949 is 949832842.

It can be written as a sum of positive squares in 2 ways, for example, as 158936449 + 89302500 = 12607^2 + 9450^2 .

It is not a de Polignac number, because 248238949 - 23 = 248238941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248238941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107689 + ... + 109969.

It is an arithmetic number, because the mean of its divisors is an integer number (24085369).

Almost surely, 2248238949 is an apocalyptic number.

It is an amenable number.

248238949 is a deficient number, since it is larger than the sum of its proper divisors (40785479).

248238949 is a wasteful number, since it uses less digits than its factorization.

248238949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4509 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The square root of 248238949 is about 15755.6005598009. The cubic root of 248238949 is about 628.4778479020.

The spelling of 248238949 in words is "two hundred forty-eight million, two hundred thirty-eight thousand, nine hundred forty-nine".

Divisors: 1 7 49 2221 2281 15547 15967 108829 111769 5066101 35462707 248238949