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248106366 = 23224115717
BaseRepresentation
bin11101100100111…
…00110101111110
3122021212002221200
432302130311332
51002003400431
640341440330
76101604114
oct1662346576
9567762850
10248106366
1111805aa92
126b1100a6
133c52b801
1424d45ab4
1516bacee6
hexec9cd7e

248106366 has 24 divisors (see below), whose sum is σ = 537880824. Its totient is φ = 82653360.

The previous prime is 248106329. The next prime is 248106371. The reversal of 248106366 is 663601842.

248106366 is a `hidden beast` number, since 2 + 4 + 8 + 10 + 636 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 248106366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40540 + ... + 46256.

It is an arithmetic number, because the mean of its divisors is an integer number (22411701).

Almost surely, 2248106366 is an apocalyptic number.

248106366 is an abundant number, since it is smaller than the sum of its proper divisors (289774458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248106366 is a wasteful number, since it uses less digits than its factorization.

248106366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 248106366 is about 15751.3925098704. The cubic root of 248106366 is about 628.3659391708.

The spelling of 248106366 in words is "two hundred forty-eight million, one hundred six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 2411 4822 5717 7233 11434 14466 17151 21699 34302 43398 51453 102906 13783687 27567374 41351061 82702122 124053183 248106366