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248056317 = 3361150611
BaseRepresentation
bin11101100100100…
…00100111111101
3122021202120022000
432302100213331
51002000300232
640340412513
76101305155
oct1662204775
9567676260
10248056317
11118026423
126b0a7139
133c511ab2
1424d31765
1516b9d27c
hexec909fd

248056317 has 16 divisors (see below), whose sum is σ = 373517760. Its totient is φ = 162658800.

The previous prime is 248056313. The next prime is 248056331. The reversal of 248056317 is 713650842.

248056317 is a `hidden beast` number, since 2 + 4 + 80 + 563 + 17 = 666.

It is not a de Polignac number, because 248056317 - 22 = 248056313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248056313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73659 + ... + 76952.

It is an arithmetic number, because the mean of its divisors is an integer number (23344860).

Almost surely, 2248056317 is an apocalyptic number.

248056317 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

248056317 is a deficient number, since it is larger than the sum of its proper divisors (125461443).

248056317 is a wasteful number, since it uses less digits than its factorization.

248056317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150681 (or 150675 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 248056317 is about 15749.8037130626. The cubic root of 248056317 is about 628.3236841730.

The spelling of 248056317 in words is "two hundred forty-eight million, fifty-six thousand, three hundred seventeen".

Divisors: 1 3 9 27 61 183 549 1647 150611 451833 1355499 4066497 9187271 27561813 82685439 248056317