Search a number
-
+
4256569980 = 22335132341643
BaseRepresentation
bin1111110110110110…
…0001101001111100
3101222122111011022000
43331231201221330
532204140214410
61542213022300
7210324151005
oct37555415174
911878434260
104256569980
1118947a5033
129a9624990
1352ab24680
142c54601ac
1519da55dc0
hexfdb61a7c

4256569980 has 384 divisors, whose sum is σ = 15268055040. Its totient is φ = 976250880.

The previous prime is 4256569963. The next prime is 4256569987. The reversal of 4256569980 is 899656524.

It is a happy number.

4256569980 is a `hidden beast` number, since 425 + 6 + 56 + 99 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4256569987) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6619539 + ... + 6620181.

It is an arithmetic number, because the mean of its divisors is an integer number (39760560).

Almost surely, 24256569980 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 4256569980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634027520).

4256569980 is an abundant number, since it is smaller than the sum of its proper divisors (11011485060).

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

4256569980 is a wasteful number, since it uses less digits than its factorization.

4256569980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 4256569980 is about 65242.3940394587. The cubic root of 4256569980 is about 1620.6401448180.

The spelling of 4256569980 in words is "four billion, two hundred fifty-six million, five hundred sixty-nine thousand, nine hundred eighty".