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249802625 = 53611812
BaseRepresentation
bin11101110001110…
…10111110000001
3122102001021210002
432320322332001
51002422141000
640442045345
76122200352
oct1670727601
9572037702
10249802625
11119009456
126b7a9855
133c9a3907
1425267d29
1516de58d5
hexee3af81

249802625 has 24 divisors (see below), whose sum is σ = 318624696. Its totient is φ = 195480000.

The previous prime is 249802613. The next prime is 249802639. The reversal of 249802625 is 526208942.

It can be written as a sum of positive squares in 12 ways, for example, as 210163009 + 39639616 = 14497^2 + 6296^2 .

It is a de Polignac number, because none of the positive numbers 2k-249802625 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380035 + ... + 1380215.

It is an arithmetic number, because the mean of its divisors is an integer number (13276029).

Almost surely, 2249802625 is an apocalyptic number.

249802625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

249802625 is a deficient number, since it is larger than the sum of its proper divisors (68822071).

249802625 is an frugal number, since it uses more digits than its factorization.

249802625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 249802625 is about 15805.1455228985. The cubic root of 249802625 is about 629.7946966878.

The spelling of 249802625 in words is "two hundred forty-nine million, eight hundred two thousand, six hundred twenty-five".

Divisors: 1 5 25 61 125 181 305 905 1525 4525 7625 11041 22625 32761 55205 163805 276025 819025 1380125 1998421 4095125 9992105 49960525 249802625