Search a number
-
+
248255856 = 24324340093
BaseRepresentation
bin11101100110000…
…01010101110000
3122022010201000100
432303001111300
51002023141411
640344552400
76103066002
oct1663012560
9568121010
10248255856
11118152332
126b182700
133c581874
1424d84372
1516bdc456
hexecc1570

248255856 has 60 divisors (see below), whose sum is σ = 710946808. Its totient is φ = 80825472.

The previous prime is 248255809. The next prime is 248255867. The reversal of 248255856 is 658552842.

It is a happy number.

248255856 is a `hidden beast` number, since 2 + 48 + 2 + 558 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13855 + ... + 26238.

Almost surely, 2248255856 is an apocalyptic number.

It is an amenable number.

248255856 is an abundant number, since it is smaller than the sum of its proper divisors (462690952).

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

248255856 is a wasteful number, since it uses less digits than its factorization.

248255856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40150 (or 40141 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 248255856 is about 15756.1370900357. The cubic root of 248255856 is about 628.4921156519.

The spelling of 248255856 in words is "two hundred forty-eight million, two hundred fifty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 40093 80186 120279 160372 240558 320744 360837 481116 641488 721674 962232 1443348 1723999 1924464 2886696 3447998 5171997 5773392 6895996 10343994 13791992 15515991 20687988 27583984 31031982 41375976 62063964 82751952 124127928 248255856