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256848480 = 25325783307
BaseRepresentation
bin11110100111100…
…11001001100000
3122220022020212200
433103303021200
51011223122410
641253053200
76236114250
oct1723631140
9586266780
10256848480
11121a91079
1272027200
134129c965
142617d960
15178383c0
hexf4f3260

256848480 has 288 divisors, whose sum is σ = 1017080064. Its totient is φ = 57811968.

The previous prime is 256848469. The next prime is 256848523. The reversal of 256848480 is 84848652.

256848480 is a `hidden beast` number, since 2 + 568 + 4 + 8 + 4 + 80 = 666.

256848480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2568484802 = 131942283356620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836487 + ... + 836793.

It is an arithmetic number, because the mean of its divisors is an integer number (3531528).

Almost surely, 2256848480 is an apocalyptic number.

256848480 is a gapful number since it is divisible by the number (20) 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 256848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508540032).

256848480 is an abundant number, since it is smaller than the sum of its proper divisors (760231584).

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

256848480 is a wasteful number, since it uses less digits than its factorization.

256848480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 256848480 is about 16026.4930661702. The cubic root of 256848480 is about 635.6611461825.

The spelling of 256848480 in words is "two hundred fifty-six million, eight hundred forty-eight thousand, four hundred eighty".