Search a number
-
+
256702272 = 2633473853
BaseRepresentation
bin11110100110011…
…11011101000000
3122220000211022120
433103033131000
51011203433042
641250004240
76234635061
oct1723173500
9586024276
10256702272
111219a1242
1271b76680
134124b248
1426142568
1517809dec
hexf4cf740

256702272 has 56 divisors (see below), whose sum is σ = 681325536. Its totient is φ = 85298688.

The previous prime is 256702249. The next prime is 256702273. The reversal of 256702272 is 272207652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256702273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64698 + ... + 68550.

Almost surely, 2256702272 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 256702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340662768).

256702272 is an abundant number, since it is smaller than the sum of its proper divisors (424623264).

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

256702272 is a wasteful number, since it uses less digits than its factorization.

256702272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 256702272 is about 16021.9309697677. The cubic root of 256702272 is about 635.5405090593.

The spelling of 256702272 in words is "two hundred fifty-six million, seven hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 347 694 1041 1388 2082 2776 3853 4164 5552 7706 8328 11104 11559 15412 16656 22208 23118 30824 33312 46236 61648 66624 92472 123296 184944 246592 369888 739776 1336991 2673982 4010973 5347964 8021946 10695928 16043892 21391856 32087784 42783712 64175568 85567424 128351136 256702272