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248513568 = 25314471789
BaseRepresentation
bin11101101000000…
…00010000100000
3122022121210112020
432310000100200
51002104413233
640354301440
76105221232
oct1664002040
9568553466
10248513568
11118308a16
126b287880
133c641c64
1425010252
1516c3d9b3
hexed00420

248513568 has 48 divisors (see below), whose sum is σ = 653163840. Its totient is φ = 82734336.

The previous prime is 248513563. The next prime is 248513579. The reversal of 248513568 is 865315842.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (248513563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138018 + ... + 139806.

It is an arithmetic number, because the mean of its divisors is an integer number (13607580).

Almost surely, 2248513568 is an apocalyptic number.

It is an amenable number.

248513568 is an abundant number, since it is smaller than the sum of its proper divisors (404650272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248513568 is a wasteful number, since it uses less digits than its factorization.

248513568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3241 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 248513568 is about 15764.3131153882. The cubic root of 248513568 is about 628.7095176346.

The spelling of 248513568 in words is "two hundred forty-eight million, five hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1447 1789 2894 3578 4341 5367 5788 7156 8682 10734 11576 14312 17364 21468 23152 28624 34728 42936 46304 57248 69456 85872 138912 171744 2588683 5177366 7766049 10354732 15532098 20709464 31064196 41418928 62128392 82837856 124256784 248513568