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245585268 = 223261111833
BaseRepresentation
bin11101010001101…
…01010101110100
3122010010000122200
432220311111310
51000332212033
640211424500
76041304015
oct1650652564
9563100580
10245585268
11116698935
126a2b5130
133bb58136
142488b00c
1516861013
hexea35574

245585268 has 36 divisors (see below), whose sum is σ = 630967428. Its totient is φ = 80519040.

The previous prime is 245585257. The next prime is 245585287. The reversal of 245585268 is 862585542.

It is a happy number.

245585268 is a `hidden beast` number, since 2 + 4 + 5 + 585 + 2 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31606884 + 213978384 = 5622^2 + 14628^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 53721 + ... + 58112.

It is an arithmetic number, because the mean of its divisors is an integer number (17526873).

Almost surely, 2245585268 is an apocalyptic number.

It is an amenable number.

245585268 is an abundant number, since it is smaller than the sum of its proper divisors (385382160).

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

245585268 is a wasteful number, since it uses less digits than its factorization.

245585268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111904 (or 111899 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 245585268 is about 15671.1603909857. The cubic root of 245585268 is about 626.2303384650.

The spelling of 245585268 in words is "two hundred forty-five million, five hundred eighty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 111833 223666 335499 447332 670998 1006497 1341996 2012994 4025988 6821813 13643626 20465439 27287252 40930878 61396317 81861756 122792634 245585268