Search a number
-
+
256164750 = 23253257443
BaseRepresentation
bin11110100010011…
…00001110001110
3122212000111222100
433101030032032
51011034233000
641230255530
76230236002
oct1721141616
9585014870
10256164750
11121664406
12719575a6
13410c069a
1426042702
1517750a00
hexf44c38e

256164750 has 96 divisors (see below), whose sum is σ = 696934368. Its totient is φ = 67891200.

The previous prime is 256164739. The next prime is 256164757. The reversal of 256164750 is 57461652.

It is a happy number.

256164750 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 647 + 5 + 0 = 666.

256164750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256164757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578029 + ... + 578471.

It is an arithmetic number, because the mean of its divisors is an integer number (7259733).

Almost surely, 2256164750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256164750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348467184).

256164750 is an abundant number, since it is smaller than the sum of its proper divisors (440769618).

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

256164750 is a wasteful number, since it uses less digits than its factorization.

256164750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 256164750 is about 16005.1476094412. The cubic root of 256164750 is about 635.0966021631.

The spelling of 256164750 in words is "two hundred fifty-six million, one hundred sixty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 257 375 443 450 514 750 771 886 1125 1285 1329 1542 2215 2250 2313 2570 2658 3855 3987 4430 4626 6425 6645 7710 7974 11075 11565 12850 13290 19275 19935 22150 23130 32125 33225 38550 39870 55375 57825 64250 66450 96375 99675 110750 113851 115650 166125 192750 199350 227702 289125 332250 341553 498375 569255 578250 683106 996750 1024659 1138510 1707765 2049318 2846275 3415530 5123295 5692550 8538825 10246590 14231375 17077650 25616475 28462750 42694125 51232950 85388250 128082375 256164750