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245939085 = 31057217
BaseRepresentation
bin11101010100010…
…11101110001101
3122010210000000000
432222023232031
51000430022320
640223154513
76044306400
oct1652135615
9563700000
10245939085
1111690a747
126a445a39
133bc501b2
142493dd37
15168d0c90
hexea8bb8d

245939085 has 132 divisors (see below), whose sum is σ = 545255388. Its totient is φ = 105815808.

The previous prime is 245939077. The next prime is 245939093. The reversal of 245939085 is 580939542.

It is an interprime number because it is at equal distance from previous prime (245939077) and next prime (245939093).

It can be written as a sum of positive squares in 2 ways, for example, as 141776649 + 104162436 = 11907^2 + 10206^2 .

It is not a de Polignac number, because 245939085 - 23 = 245939077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 245939085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 14466997 + ... + 14467013.

Almost surely, 2245939085 is an apocalyptic number.

It is an amenable number.

245939085 is an abundant number, since it is smaller than the sum of its proper divisors (299316303).

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

245939085 is an frugal number, since it uses more digits than its factorization.

245939085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 245939085 is about 15682.4451218552. The cubic root of 245939085 is about 626.5309327964.

The spelling of 245939085 in words is "two hundred forty-five million, nine hundred thirty-nine thousand, eighty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 49 51 63 81 85 105 119 135 147 153 189 243 245 255 315 357 405 441 459 567 595 729 735 765 833 945 1071 1215 1323 1377 1701 1785 2187 2205 2295 2499 2835 3213 3645 3969 4131 4165 5103 5355 6561 6615 6885 7497 8505 9639 10935 11907 12393 12495 15309 16065 19683 19845 20655 22491 25515 28917 32805 35721 37179 37485 45927 48195 59049 59535 61965 67473 76545 86751 98415 107163 111537 112455 137781 144585 178605 185895 202419 229635 260253 295245 321489 334611 337365 413343 433755 535815 557685 607257 688905 780759 964467 1003833 1012095 1301265 1607445 1673055 1821771 2066715 2342277 2893401 3036285 3903795 4822335 5019165 5465313 7026831 9108855 11711385 14467005 16395939 27326565 35134155 49187817 81979695 245939085