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248431625 = 5313172232
BaseRepresentation
bin11101100111011…
…00010000001001
3122022110122010022
432303230100021
51002044303000
640352430225
76104430311
oct1663542011
9568418108
10248431625
111182623a2
126b248375
133c613880
1424dcc441
1516c24585
hexecec409

248431625 has 72 divisors (see below), whose sum is σ = 370779864. Its totient is φ = 165158400.

The previous prime is 248431621. The next prime is 248431639. The reversal of 248431625 is 526134842.

It can be written as a sum of positive squares in 12 ways, for example, as 151979584 + 96452041 = 12328^2 + 9821^2 .

It is not a de Polignac number, because 248431625 - 22 = 248431621 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248431621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10801364 + ... + 10801386.

Almost surely, 2248431625 is an apocalyptic number.

248431625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248431625 is a deficient number, since it is larger than the sum of its proper divisors (122348239).

248431625 is a wasteful number, since it uses less digits than its factorization.

248431625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 248431625 is about 15761.7138979237. The cubic root of 248431625 is about 628.6404080512.

The spelling of 248431625 in words is "two hundred forty-eight million, four hundred thirty-one thousand, six hundred twenty-five".

Divisors: 1 5 13 17 23 25 65 85 115 125 221 289 299 325 391 425 529 575 1105 1445 1495 1625 1955 2125 2645 2875 3757 5083 5525 6647 6877 7225 7475 8993 9775 13225 18785 25415 27625 33235 34385 36125 37375 44965 48875 66125 86411 93925 116909 127075 152881 166175 171925 224825 432055 469625 584545 635375 764405 830875 859625 1124125 1987453 2160275 2922725 3822025 9937265 10801375 14613625 19110125 49686325 248431625