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248500413 = 337326833
BaseRepresentation
bin11101100111111…
…01000010111101
3122022121010111000
432303331002331
51002104003123
640354120513
76105135000
oct1663750275
9568533430
10248500413
111182aa047
126b280139
133c638c85
1425009537
1516c39b43
hexecfd0bd

248500413 has 32 divisors (see below), whose sum is σ = 429344000. Its totient is φ = 141994944.

The previous prime is 248500409. The next prime is 248500429. The reversal of 248500413 is 314005842.

248500413 is a `hidden beast` number, since 248 + 5 + 0 + 0 + 413 = 666.

It is not a de Polignac number, because 248500413 - 22 = 248500409 is a prime.

It is a super-2 number, since 2×2485004132 = 123504910522341138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248500453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4156 + ... + 22677.

It is an arithmetic number, because the mean of its divisors is an integer number (13417000).

Almost surely, 2248500413 is an apocalyptic number.

It is an amenable number.

248500413 is a deficient number, since it is larger than the sum of its proper divisors (180843587).

248500413 is an equidigital number, since it uses as much as digits as its factorization.

248500413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26863 (or 26843 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 248500413 is about 15763.8958699936. The cubic root of 248500413 is about 628.6984239149.

The spelling of 248500413 in words is "two hundred forty-eight million, five hundred thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 9261 26833 80499 187831 241497 563493 724491 1314817 1690479 3944451 5071437 9203719 11833353 27611157 35500059 82833471 248500413