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288250625 = 541322729
BaseRepresentation
bin10001001011100…
…101101100000001
3202002101122112002
4101023211230001
51042243010000
644334113345
710100042555
oct2113455401
9662348462
10288250625
11138789a63
128064b855
1347945c00
142a3d5865
151a48c8d5
hex112e5b01

288250625 has 30 divisors (see below), whose sum is σ = 390179790. Its totient is φ = 212784000.

The previous prime is 288250621. The next prime is 288250663. The reversal of 288250625 is 526052882.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 288184576 + 66049 = 16976^2 + 257^2 .

It is not a de Polignac number, because 288250625 - 22 = 288250621 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (288250621) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 104261 + ... + 106989.

It is an arithmetic number, because the mean of its divisors is an integer number (13005993).

Almost surely, 2288250625 is an apocalyptic number.

288250625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

288250625 is a deficient number, since it is larger than the sum of its proper divisors (101929165).

288250625 is an equidigital number, since it uses as much as digits as its factorization.

288250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 288250625 is about 16977.9452525917. The cubic root of 288250625 is about 660.5769557008.

The spelling of 288250625 in words is "two hundred eighty-eight million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 625 845 1625 2729 4225 8125 13645 21125 35477 68225 105625 177385 341125 461201 886925 1705625 2306005 4434625 11530025 22173125 57650125 288250625