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256207116 = 2231110917807
BaseRepresentation
bin11110100010101…
…10100100001100
3122212002200002110
433101112210030
51011042111431
641231224020
76230503344
oct1721264414
9585080073
10256207116
11121693220
1271978010
1341106a59
1426053d24
151775d346
hexf45690c

256207116 has 48 divisors (see below), whose sum is σ = 658183680. Its totient is φ = 76921920.

The previous prime is 256207109. The next prime is 256207117. The reversal of 256207116 is 611702652.

It is not an unprimeable number, because it can be changed into a prime (256207117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5485 + ... + 23291.

It is an arithmetic number, because the mean of its divisors is an integer number (13712160).

Almost surely, 2256207116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256207116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329091840).

256207116 is an abundant number, since it is smaller than the sum of its proper divisors (401976564).

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

256207116 is a wasteful number, since it uses less digits than its factorization.

256207116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934 (or 17932 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 256207116 is about 16006.4710664156. The cubic root of 256207116 is about 635.1316122097.

Adding to 256207116 its reverse (611702652), we get a palindrome (867909768).

The spelling of 256207116 in words is "two hundred fifty-six million, two hundred seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2398 3597 4796 7194 14388 17807 35614 53421 71228 106842 195877 213684 391754 587631 783508 1175262 1940963 2350524 3881926 5822889 7763852 11645778 21350593 23291556 42701186 64051779 85402372 128103558 256207116