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256523241 = 31322973239
BaseRepresentation
bin11110100101000…
…11101111101001
3122212200201201210
433102203233221
51011132220431
641242103333
76233261112
oct1722435751
9585621653
10256523241
11121889787
1271aaab49
13411b7900
14260d7209
15177c1d46
hexf4a3be9

256523241 has 48 divisors (see below), whose sum is σ = 390009600. Its totient is φ = 149700096.

The previous prime is 256523231. The next prime is 256523261. The reversal of 256523241 is 142325652.

It is not a de Polignac number, because 256523241 - 26 = 256523177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 256523199 and 256523208.

It is not an unprimeable number, because it can be changed into a prime (256523231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073200 + ... + 1073438.

It is an arithmetic number, because the mean of its divisors is an integer number (8125200).

Almost surely, 2256523241 is an apocalyptic number.

It is an amenable number.

256523241 is a deficient number, since it is larger than the sum of its proper divisors (133486359).

256523241 is a wasteful number, since it uses less digits than its factorization.

256523241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 357 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 256523241 is about 16016.3429346402. The cubic root of 256523241 is about 635.3927270735.

Adding to 256523241 its reverse (142325652), we get a palindrome (398848893).

The spelling of 256523241 in words is "two hundred fifty-six million, five hundred twenty-three thousand, two hundred forty-one".

Divisors: 1 3 13 29 39 73 87 169 219 239 377 507 717 949 1131 2117 2847 3107 4901 6351 6931 9321 12337 14703 17447 20793 27521 37011 40391 52341 82563 90103 121173 226811 270309 357773 505963 680433 1073319 1171339 1517889 2948543 3514017 6577519 8845629 19732557 85507747 256523241