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249425085 = 35713296301
BaseRepresentation
bin11101101110111…
…10110010111101
3122101100002220010
432313132302331
51002323100320
640430013433
76116035560
oct1667366275
9571302803
10249425085
11118880838
126b647279
133c8a0b10
14251aa4d7
1516d6dae0
hexeddecbd

249425085 has 64 divisors (see below), whose sum is σ = 508193280. Its totient is φ = 101606400.

The previous prime is 249425047. The next prime is 249425089. The reversal of 249425085 is 580524942.

It is not a de Polignac number, because 249425085 - 211 = 249423037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249425089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36435 + ... + 42735.

It is an arithmetic number, because the mean of its divisors is an integer number (7940520).

Almost surely, 2249425085 is an apocalyptic number.

It is an amenable number.

249425085 is an abundant number, since it is smaller than the sum of its proper divisors (258768195).

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

249425085 is a wasteful number, since it uses less digits than its factorization.

249425085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358.

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 249425085 is about 15793.1974280068. The cubic root of 249425085 is about 629.4772559662.

The spelling of 249425085 in words is "two hundred forty-nine million, four hundred twenty-five thousand, eighty-five".

Divisors: 1 3 5 7 13 15 21 29 35 39 65 87 91 105 145 195 203 273 377 435 455 609 1015 1131 1365 1885 2639 3045 5655 6301 7917 13195 18903 31505 39585 44107 81913 94515 132321 182729 220535 245739 409565 548187 573391 661605 913645 1228695 1279103 1720173 2375477 2740935 2866955 3837309 6395515 7126431 8600865 11877385 16628339 19186545 35632155 49885017 83141695 249425085