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256413460 = 22579162287
BaseRepresentation
bin11110100100010…
…00111100010100
3122212111011010211
433102020330110
51011120212320
641235455204
76232323052
oct1722107424
9585434124
10256413460
11121814256
1271a57504
1341179954
14260a91d2
151779e55a
hexf488f14

256413460 has 24 divisors (see below), whose sum is σ = 545287680. Its totient is φ = 101266464.

The previous prime is 256413419. The next prime is 256413463. The reversal of 256413460 is 64314652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256413463) 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 7 ways as a sum of consecutive naturals, for example, 79564 + ... + 82723.

It is an arithmetic number, because the mean of its divisors is an integer number (22720320).

Almost surely, 2256413460 is an apocalyptic number.

256413460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256413460 is an abundant number, since it is smaller than the sum of its proper divisors (288874220).

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

256413460 is a wasteful number, since it uses less digits than its factorization.

256413460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162375 (or 162373 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 256413460 is about 16012.9154122539. The cubic root of 256413460 is about 635.3020738164.

It can be divided in two parts, 25641 and 3460, that multiplied together give a triangular number (88717860 = T13320).

The spelling of 256413460 in words is "two hundred fifty-six million, four hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 162287 324574 649148 811435 1622870 3245740 12820673 25641346 51282692 64103365 128206730 256413460