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248245621 = 133192313
BaseRepresentation
bin11101100101111…
…10110101110101
3122022010011222021
432302332311311
51002022324441
640344433141
76103024111
oct1662766565
9568104867
10248245621
11118145678
126b1787b1
133c57a000
1424d80741
1516bd93d1
hexecbed75

248245621 has 24 divisors (see below), whose sum is σ = 284728920. Its totient is φ = 216395712.

The previous prime is 248245573. The next prime is 248245637. The reversal of 248245621 is 126542842.

It can be written as a sum of positive squares in 4 ways, for example, as 161569521 + 86676100 = 12711^2 + 9310^2 .

It is not a de Polignac number, because 248245621 - 219 = 247721333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248245651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792961 + ... + 793273.

It is an arithmetic number, because the mean of its divisors is an integer number (11863705).

Almost surely, 2248245621 is an apocalyptic number.

It is an amenable number.

248245621 is a deficient number, since it is larger than the sum of its proper divisors (36483299).

248245621 is an equidigital number, since it uses as much as digits as its factorization.

248245621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 345 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 248245621 is about 15755.8122926113. The cubic root of 248245621 is about 628.4834784536.

The spelling of 248245621 in words is "two hundred forty-eight million, two hundred forty-five thousand, six hundred twenty-one".

Divisors: 1 13 19 169 247 313 361 2197 3211 4069 4693 5947 41743 52897 61009 77311 112993 687661 793117 1005043 1468909 13065559 19095817 248245621