Search a number
-
+
249606693 = 3276164951
BaseRepresentation
bin11101110000010…
…11001000100101
3122101200100000100
432320023020211
51002344403233
640433534313
76120423210
oct1670131045
9571610010
10249606693
11118995226
126b714399
133c93568b
1425216777
1516da7813
hexee0b225

249606693 has 24 divisors (see below), whose sum is σ = 418810496. Its totient is φ = 140292000.

The previous prime is 249606661. The next prime is 249606727. The reversal of 249606693 is 396606942.

It is not a de Polignac number, because 249606693 - 25 = 249606661 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249606193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28633 + ... + 36318.

Almost surely, 2249606693 is an apocalyptic number.

It is an amenable number.

249606693 is a deficient number, since it is larger than the sum of its proper divisors (169203803).

249606693 is a wasteful number, since it uses less digits than its factorization.

249606693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65025 (or 65022 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 249606693 is about 15798.9459458535. The cubic root of 249606693 is about 629.6299943746.

The spelling of 249606693 in words is "two hundred forty-nine million, six hundred six thousand, six hundred ninety-three".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 3843 64951 194853 454657 584559 1363971 3962011 4091913 11886033 27734077 35658099 83202231 249606693