Search a number
-
+
256704444 = 22334157973
BaseRepresentation
bin11110100110011…
…11111110111100
3122220000221022000
433103033332330
51011204020234
641250022300
76234644313
oct1723177674
9586027260
10256704444
111219a2937
1271b77990
134124c229
142614327a
151780a899
hexf4cffbc

256704444 has 48 divisors (see below), whose sum is σ = 681774240. Its totient is φ = 83479680.

The previous prime is 256704439. The next prime is 256704451. The reversal of 256704444 is 444407652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 256704399 and 256704408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24559 + ... + 33414.

It is an arithmetic number, because the mean of its divisors is an integer number (14203630).

Almost surely, 2256704444 is an apocalyptic number.

It is an amenable number.

256704444 is an abundant number, since it is smaller than the sum of its proper divisors (425069796).

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

256704444 is a wasteful number, since it uses less digits than its factorization.

256704444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58027 (or 58019 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 256704444 is about 16021.9987517163. The cubic root of 256704444 is about 635.5423015250.

The spelling of 256704444 in words is "two hundred fifty-six million, seven hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 57973 115946 173919 231892 347838 521757 695676 1043514 1565271 2087028 2376893 3130542 4753786 6261084 7130679 9507572 14261358 21392037 28522716 42784074 64176111 85568148 128352222 256704444