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248161407 = 31317336781
BaseRepresentation
bin11101100101010…
…10010001111111
3122021221220110020
432302222101333
51002012131112
640342543223
76102223434
oct1662522177
9567856406
10248161407
1111809837a
126b137b13
133c54a890
1424d5bb8b
1516bbe48c
hexecaa47f

248161407 has 16 divisors (see below), whose sum is σ = 358403808. Its totient is φ = 151827840.

The previous prime is 248161399. The next prime is 248161477. The reversal of 248161407 is 704161842.

It is not a de Polignac number, because 248161407 - 23 = 248161399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248161477) 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 15 ways as a sum of consecutive naturals, for example, 11644 + ... + 25137.

It is an arithmetic number, because the mean of its divisors is an integer number (22400238).

Almost surely, 2248161407 is an apocalyptic number.

248161407 is a deficient number, since it is larger than the sum of its proper divisors (110242401).

248161407 is a wasteful number, since it uses less digits than its factorization.

248161407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36970.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 248161407 is about 15753.1395918401. The cubic root of 248161407 is about 628.4124022167.

The spelling of 248161407 in words is "two hundred forty-eight million, one hundred sixty-one thousand, four hundred seven".

Divisors: 1 3 13 39 173 519 2249 6747 36781 110343 478153 1434459 6363113 19089339 82720469 248161407