Search a number
-
+
256169256 = 23372613571
BaseRepresentation
bin11110100010011…
…01010100101000
3122212000202011020
433101031110220
51011034404011
641230332440
76230255100
oct1721152450
9585022136
10256169256
11121667832
127195a120
13410c2755
1426044200
1517752006
hexf44d528

256169256 has 96 divisors (see below), whose sum is σ = 757406880. Its totient is φ = 71971200.

The previous prime is 256169237. The next prime is 256169261. The reversal of 256169256 is 652961652.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69951 + ... + 73521.

It is an arithmetic number, because the mean of its divisors is an integer number (7889655).

Almost surely, 2256169256 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 256169256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378703440).

256169256 is an abundant number, since it is smaller than the sum of its proper divisors (501237624).

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

256169256 is a wasteful number, since it uses less digits than its factorization.

256169256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3644 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 256169256 is about 16005.2883760337. The cubic root of 256169256 is about 635.1003259756.

It can be divided in two parts, 2561 and 69256, that added together give a palindrome (71817).

The spelling of 256169256 in words is "two hundred fifty-six million, one hundred sixty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 61 84 98 122 147 168 183 196 244 294 366 392 427 488 588 732 854 1176 1281 1464 1708 2562 2989 3416 3571 5124 5978 7142 8967 10248 10713 11956 14284 17934 21426 23912 24997 28568 35868 42852 49994 71736 74991 85704 99988 149982 174979 199976 217831 299964 349958 435662 524937 599928 653493 699916 871324 1049874 1306986 1399832 1524817 1742648 2099748 2613972 3049634 4199496 4574451 5227944 6099268 9148902 10673719 12198536 18297804 21347438 32021157 36595608 42694876 64042314 85389752 128084628 256169256