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264460625 = 5411213269
BaseRepresentation
bin11111100001101…
…01100101010001
3200102121222202222
433300311211101
51020200220000
642124150425
76360610142
oct1760654521
9612558688
10264460625
11126310200
1274698415
1342a366a0
14271a1ac9
151833da85
hexfc35951

264460625 has 60 divisors (see below), whose sum is σ = 392639940. Its totient is φ = 176880000.

The previous prime is 264460613. The next prime is 264460631. The reversal of 264460625 is 526064462.

It can be written as a sum of positive squares in 10 ways, for example, as 263965009 + 495616 = 16247^2 + 704^2 .

It is not a de Polignac number, because 264460625 - 26 = 264460561 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 982991 + ... + 983259.

It is an arithmetic number, because the mean of its divisors is an integer number (6543999).

Almost surely, 2264460625 is an apocalyptic number.

264460625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264460625 is a deficient number, since it is larger than the sum of its proper divisors (128179315).

264460625 is a wasteful number, since it uses less digits than its factorization.

264460625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 264460625 is about 16262.2453861698. The cubic root of 264460625 is about 641.8797478274.

The spelling of 264460625 in words is "two hundred sixty-four million, four hundred sixty thousand, six hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 121 125 143 269 275 325 605 625 715 1345 1375 1573 1625 2959 3025 3497 3575 6725 6875 7865 8125 14795 15125 17485 17875 32549 33625 38467 39325 73975 75625 87425 89375 162745 168125 192335 196625 369875 423137 437125 813725 961675 983125 1849375 2115685 2185625 4068625 4808375 10578425 20343125 24041875 52892125 264460625