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249088317 = 331286399
BaseRepresentation
bin11101101100011…
…00100100111101
3122100200222221020
432312030210331
51002231311232
640414454353
76113134002
oct1666144475
9570628836
10249088317
11118670815
126b5043b9
133c7b374a
142511d8a9
1516d03e2c
hexed8c93d

249088317 has 12 divisors (see below), whose sum is σ = 343180800. Its totient is φ = 160700280.

The previous prime is 249088303. The next prime is 249088339. The reversal of 249088317 is 713880942.

It is not a de Polignac number, because 249088317 - 218 = 248826173 is a prime.

It is a hoax number, since the sum of its digits (42) 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 (249088387) 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, 40317 + ... + 46082.

It is an arithmetic number, because the mean of its divisors is an integer number (28598400).

Almost surely, 2249088317 is an apocalyptic number.

It is an amenable number.

249088317 is a deficient number, since it is larger than the sum of its proper divisors (94092483).

249088317 is an equidigital number, since it uses as much as digits as its factorization.

249088317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86464 (or 86433 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 249088317 is about 15782.5320211936. The cubic root of 249088317 is about 629.1938264745.

The spelling of 249088317 in words is "two hundred forty-nine million, eighty-eight thousand, three hundred seventeen".

Divisors: 1 3 31 93 961 2883 86399 259197 2678369 8035107 83029439 249088317