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486250128 = 243472131931
BaseRepresentation
bin11100111110111…
…001011010010000
31020212222001210000
4130332321122100
51443440001003
6120130010000
715023025600
oct3476713220
91225861700
10486250128
1122a525a11
12116a16900
137997c790
1448816c00
152ca4e1a3
hex1cfb9690

486250128 has 600 divisors, whose sum is σ = 1915710720. Its totient is φ = 117573120.

The previous prime is 486250111. The next prime is 486250129. The reversal of 486250128 is 821052684.

486250128 is a `hidden beast` number, since 4 + 8 + 625 + 0 + 1 + 28 = 666.

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 = 486250092 and 486250101.

It is not an unprimeable number, because it can be changed into a prime (486250129) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15685473 + ... + 15685503.

Almost surely, 2486250128 is an apocalyptic number.

486250128 is a gapful number since it is divisible by the number (48) 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 486250128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957855360).

486250128 is an abundant number, since it is smaller than the sum of its proper divisors (1429460592).

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

486250128 is a wasteful number, since it uses less digits than its factorization.

486250128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

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

The square root of 486250128 is about 22051.0799735523. The cubic root of 486250128 is about 786.3572759535.

The spelling of 486250128 in words is "four hundred eighty-six million, two hundred fifty thousand, one hundred twenty-eight".