Search a number
-
+
248840256 = 2637185149
BaseRepresentation
bin11101101010100…
…00000001000000
3122100020101122210
432311100001000
51002200342011
640405302120
76111051540
oct1665200100
9570211583
10248840256
11118511405
126b404940
133c727872
1425097320
1516ca56a6
hexed50040

248840256 has 56 divisors (see below), whose sum is σ = 752449600. Its totient is φ = 71096832.

The previous prime is 248840227. The next prime is 248840261. The reversal of 248840256 is 652048842.

248840256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2488402562 = 123842946012291072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91231 + ... + 93918.

It is an arithmetic number, because the mean of its divisors is an integer number (13436600).

Almost surely, 2248840256 is an apocalyptic number.

It is an amenable number.

248840256 is an abundant number, since it is smaller than the sum of its proper divisors (503609344).

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

248840256 is a wasteful number, since it uses less digits than its factorization.

248840256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185171 (or 185161 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 248840256 is about 15774.6713436445. The cubic root of 248840256 is about 628.9848908221.

The spelling of 248840256 in words is "two hundred forty-eight million, eight hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 185149 370298 555447 740596 1110894 1296043 1481192 2221788 2592086 2962384 3888129 4443576 5184172 5924768 7776258 8887152 10368344 11849536 15552516 17774304 20736688 31105032 35548608 41473376 62210064 82946752 124420128 248840256