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256521012 = 2231171101271
BaseRepresentation
bin11110100101000…
…11001100110100
3122212200121200020
433102203030310
51011132133022
641242045140
76233251446
oct1722431464
9585617606
10256521012
11121888040
1271aa97b0
13411b68a7
14260d6496
15177c135c
hexf4a3334

256521012 has 96 divisors (see below), whose sum is σ = 671182848. Its totient is φ = 75600000.

The previous prime is 256521011. The next prime is 256521017. The reversal of 256521012 is 210125652.

It is a happy number.

256521012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256521011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946437 + ... + 946707.

It is an arithmetic number, because the mean of its divisors is an integer number (6991488).

Almost surely, 2256521012 is an apocalyptic number.

256521012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256521012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335591424).

256521012 is an abundant number, since it is smaller than the sum of its proper divisors (414661836).

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

256521012 is a wasteful number, since it uses less digits than its factorization.

256521012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 256521012 is about 16016.2733493157. The cubic root of 256521012 is about 635.3908867016.

Adding to 256521012 its reverse (210125652), we get a palindrome (466646664).

The spelling of 256521012 in words is "two hundred fifty-six million, five hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 101 132 142 202 213 271 284 303 404 426 542 606 781 813 852 1084 1111 1212 1562 1626 2222 2343 2981 3124 3252 3333 4444 4686 5962 6666 7171 8943 9372 11924 13332 14342 17886 19241 21513 27371 28684 35772 38482 43026 54742 57723 76964 78881 82113 86052 109484 115446 157762 164226 211651 230892 236643 301081 315524 328452 423302 473286 602162 634953 846604 903243 946572 1204324 1269906 1806486 1943341 2539812 3612972 3886682 5830023 7773364 11660046 21376751 23320092 42753502 64130253 85507004 128260506 256521012