Search a number
-
+
264553256 = 231131372621
BaseRepresentation
bin11111100010011…
…00001100101000
3200102210200211202
433301030030220
51020211201011
642130143332
76361444202
oct1761141450
9612720752
10264553256
11126373860
1274721b48
1342a698b6
14271c7772
151835b23b
hexfc4c328

264553256 has 64 divisors (see below), whose sum is σ = 573903360. Its totient is φ = 113184000.

The previous prime is 264553249. The next prime is 264553273. The reversal of 264553256 is 652355462.

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 15 ways as a sum of consecutive naturals, for example, 99626 + ... + 102246.

It is an arithmetic number, because the mean of its divisors is an integer number (8967240).

Almost surely, 2264553256 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 264553256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286951680).

264553256 is an abundant number, since it is smaller than the sum of its proper divisors (309350104).

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

264553256 is a wasteful number, since it uses less digits than its factorization.

264553256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2702 counting only the distinct ones).

The product of its digits is 216000, while the sum is 38.

The square root of 264553256 is about 16265.0931752634. The cubic root of 264553256 is about 641.9546815059.

The spelling of 264553256 in words is "two hundred sixty-four million, five hundred fifty-three thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 31 37 44 62 74 88 124 148 248 296 341 407 682 814 1147 1364 1628 2294 2621 2728 3256 4588 5242 9176 10484 12617 20968 25234 28831 50468 57662 81251 96977 100936 115324 162502 193954 230648 325004 387908 650008 775816 893761 1066747 1787522 2133494 3006287 3575044 4266988 6012574 7150088 8533976 12025148 24050296 33069157 66138314 132276628 264553256