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248428667 = 17198772
BaseRepresentation
bin11101100111010…
…11100001111011
3122022110111001202
432303223201323
51002044204132
640352404415
76104415554
oct1663534173
9568414052
10248428667
11118260153
126b24670b
133c612416
1424dcb32b
1516c23762
hexeceb87b

248428667 has 12 divisors (see below), whose sum is σ = 277202520. Its totient is φ = 221256576.

The previous prime is 248428651. The next prime is 248428753. The reversal of 248428667 is 766824842.

It is not a de Polignac number, because 248428667 - 24 = 248428651 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248428627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282833 + ... + 283709.

It is an arithmetic number, because the mean of its divisors is an integer number (23100210).

Almost surely, 2248428667 is an apocalyptic number.

248428667 is a deficient number, since it is larger than the sum of its proper divisors (28773853).

248428667 is an frugal number, since it uses more digits than its factorization.

248428667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 913 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 47.

The square root of 248428667 is about 15761.6200626712. The cubic root of 248428667 is about 628.6379130311.

The spelling of 248428667 in words is "two hundred forty-eight million, four hundred twenty-eight thousand, six hundred sixty-seven".

Divisors: 1 17 19 323 877 14909 16663 283271 769129 13075193 14613451 248428667