Search a number
-
+
256983440 = 2457265557
BaseRepresentation
bin11110101000101…
…00000110010000
3122220120010000012
433110110012100
51011241432230
641300014052
76240215600
oct1724240620
9586503005
10256983440
1112207350a
1272091328
134131920c
14261b6c00
1517863395
hexf514190

256983440 has 60 divisors (see below), whose sum is σ = 695045916. Its totient is φ = 88107264.

The previous prime is 256983403. The next prime is 256983443. The reversal of 256983440 is 44389652.

It can be written as a sum of positive squares in 2 ways, for example, as 138956944 + 118026496 = 11788^2 + 10864^2 .

It is not an unprimeable number, because it can be changed into a prime (256983443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28859 + ... + 36698.

Almost surely, 2256983440 is an apocalyptic number.

256983440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256983440 is an abundant number, since it is smaller than the sum of its proper divisors (438062476).

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

256983440 is a wasteful number, since it uses less digits than its factorization.

256983440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65584 (or 65571 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 256983440 is about 16030.7030413516. The cubic root of 256983440 is about 635.7724618849.

The spelling of 256983440 in words is "two hundred fifty-six million, nine hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 65557 131114 262228 327785 458899 524456 655570 917798 1048912 1311140 1835596 2294495 2622280 3212293 3671192 4588990 5244560 6424586 7342384 9177980 12849172 16061465 18355960 25698344 32122930 36711920 51396688 64245860 128491720 256983440