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458480128 = 29895469
BaseRepresentation
bin11011010100111…
…101101000000000
31011221201012111111
4123110331220000
51414332331003
6113254453104
714235005521
oct3324755000
91157635444
10458480128
112158889a7
12109664194
1373ca8822
1444c68848
152a3b5e6d
hex1b53da00

458480128 has 20 divisors (see below), whose sum is σ = 916065810. Its totient is φ = 229239808.

The previous prime is 458480117. The next prime is 458480167. The reversal of 458480128 is 821084854.

It can be written as a sum of positive squares in only one way, i.e., 289272064 + 169208064 = 17008^2 + 13008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 447223 + ... + 448246.

Almost surely, 2458480128 is an apocalyptic number.

It is an amenable number.

458480128 is a deficient number, since it is larger than the sum of its proper divisors (457585682).

458480128 is an frugal number, since it uses more digits than its factorization.

458480128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895487 (or 895471 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 458480128 is about 21412.1490747659. The cubic root of 458480128 is about 771.0931390075.

The spelling of 458480128 in words is "four hundred fifty-eight million, four hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 895469 1790938 3581876 7163752 14327504 28655008 57310016 114620032 229240064 458480128