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248407247 = 11173173587
BaseRepresentation
bin11101100111001…
…10010011001111
3122022102101200102
432303212103033
51002043012442
640352121315
76104266244
oct1663462317
9568371612
10248407247
11118246050
126b23623b
133c60574a
1424dc35cb
1516c1c232
hexece64cf

248407247 has 32 divisors (see below), whose sum is σ = 300754944. Its totient is φ = 202521600.

The previous prime is 248407217. The next prime is 248407249. The reversal of 248407247 is 742704842.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-248407247 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 248407247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248407249) 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 31 ways as a sum of consecutive naturals, for example, 422888 + ... + 423474.

It is an arithmetic number, because the mean of its divisors is an integer number (9398592).

Almost surely, 2248407247 is an apocalyptic number.

248407247 is a deficient number, since it is larger than the sum of its proper divisors (52347697).

248407247 is a wasteful number, since it uses less digits than its factorization.

248407247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its (nonzero) digits is 100352, while the sum is 38.

The square root of 248407247 is about 15760.9405493454. The cubic root of 248407247 is about 628.6198450530.

The spelling of 248407247 in words is "two hundred forty-eight million, four hundred seven thousand, two hundred forty-seven".

Divisors: 1 11 17 31 73 187 341 527 587 803 1241 2263 5797 6457 9979 13651 18197 24893 38471 42851 109769 200167 309349 423181 471361 728467 1328381 3402839 8013137 14612191 22582477 248407247