Search a number
-
+
4256081280 = 273351122391
BaseRepresentation
bin1111110110101110…
…1010010110000000
3101222121120022221000
43331223222112000
532204024100110
61542154332000
7210320044143
oct37553522600
911877508830
104256081280
1118944a0950
129a942a000
1352a9b30b9
142c537405a
1519d9ab1c0
hexfdaea580

4256081280 has 256 divisors, whose sum is σ = 16444684800. Its totient is φ = 1031731200.

The previous prime is 4256081243. The next prime is 4256081281. The reversal of 4256081280 is 821806524.

4256081280 is a `hidden beast` number, since 4 + 2 + 560 + 8 + 12 + 80 = 666.

It is a super-2 number, since 2×42560812802 = 36228455723932876800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4256081281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178885 + ... + 201275.

It is an arithmetic number, because the mean of its divisors is an integer number (64237050).

Almost surely, 24256081280 is an apocalyptic number.

4256081280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4256081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8222342400).

4256081280 is an abundant number, since it is smaller than the sum of its proper divisors (12188603520).

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

4256081280 is a wasteful number, since it uses less digits than its factorization.

4256081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22430 (or 22412 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4256081280 is about 65238.6486677951. The cubic root of 4256081280 is about 1620.5781201397.

The spelling of 4256081280 in words is "four billion, two hundred fifty-six million, eighty-one thousand, two hundred eighty".