Search a number
-
+
256191992 = 23722572543
BaseRepresentation
bin11110100010100…
…10110111111000
3122212001220100022
433101102313320
51011041120432
641231030012
76230411300
oct1721226770
9585056308
10256191992
11121682921
127196b308
13410ccbc4
142604c600
1517758b12
hexf452df8

256191992 has 48 divisors (see below), whose sum is σ = 561180960. Its totient is φ = 109326336.

The previous prime is 256191977. The next prime is 256192007. The reversal of 256191992 is 299191652.

It is an interprime number because it is at equal distance from previous prime (256191977) and next prime (256192007).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99473 + ... + 102015.

It is an arithmetic number, because the mean of its divisors is an integer number (11691270).

Almost surely, 2256191992 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 256191992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280590480).

256191992 is an abundant number, since it is smaller than the sum of its proper divisors (304988968).

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

256191992 is a wasteful number, since it uses less digits than its factorization.

256191992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2809 counting only the distinct ones).

The product of its digits is 87480, while the sum is 44.

The square root of 256191992 is about 16005.9986255154. The cubic root of 256191992 is about 635.1191146131.

Adding to 256191992 its sum of digits (44), we get a square (256192036 = 160062).

The spelling of 256191992 in words is "two hundred fifty-six million, one hundred ninety-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 257 392 514 1028 1799 2056 2543 3598 5086 7196 10172 12593 14392 17801 20344 25186 35602 50372 71204 100744 124607 142408 249214 498428 653551 996856 1307102 2614204 4574857 5228408 9149714 18299428 32023999 36598856 64047998 128095996 256191992