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248077071 = 32112505829
BaseRepresentation
bin11101100100101…
…01101100001111
3122021210121202200
432302111230033
51002001431241
640341052543
76101422524
oct1662255417
9567717680
10248077071
1111803aa80
126b0b7153
133c51b388
1424d3914b
1516ba44b6
hexec95b0f

248077071 has 12 divisors (see below), whose sum is σ = 390909480. Its totient is φ = 150349680.

The previous prime is 248077069. The next prime is 248077099. The reversal of 248077071 is 170770842.

It is not a de Polignac number, because 248077071 - 21 = 248077069 is a prime.

It is a super-3 number, since 3×2480770713 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248077001) 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, 1252816 + ... + 1253013.

It is an arithmetic number, because the mean of its divisors is an integer number (32575790).

Almost surely, 2248077071 is an apocalyptic number.

248077071 is a deficient number, since it is larger than the sum of its proper divisors (142832409).

248077071 is a wasteful number, since it uses less digits than its factorization.

248077071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505846 (or 2505843 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 248077071 is about 15750.4625646360. The cubic root of 248077071 is about 628.3412068956.

It can be divided in two parts, 24807 and 7071, that added together give a triangular number (31878 = T252).

The spelling of 248077071 in words is "two hundred forty-eight million, seventy-seven thousand, seventy-one".

Divisors: 1 3 9 11 33 99 2505829 7517487 22552461 27564119 82692357 248077071