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480810050 = 252724432
BaseRepresentation
bin11100101010001…
…001010001000010
31020111201200101122
4130222021101002
51441041410200
6115413232242
714625550400
oct3452112102
91214650348
10480810050
1122744a786
12115032682
13787c65b6
1447bdc470
152c327385
hex1ca89442

480810050 has 54 divisors (see below), whose sum is σ = 1042669593. Its totient is φ = 164477040.

The previous prime is 480810049. The next prime is 480810059. The reversal of 480810050 is 50018084.

It can be written as a sum of positive squares in 2 ways, for example, as 471193849 + 9616201 = 21707^2 + 3101^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15505.

It is a super-3 number, since 3×4808100503 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480810059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1085129 + ... + 1085571.

Almost surely, 2480810050 is an apocalyptic number.

480810050 is an abundant number, since it is smaller than the sum of its proper divisors (561859543).

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

480810050 is an equidigital number, since it uses as much as digits as its factorization.

480810050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 480810050 is about 21927.3812845948. The cubic root of 480810050 is about 783.4137304937.

The spelling of 480810050 in words is "four hundred eighty million, eight hundred ten thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 443 490 886 1225 2215 2450 3101 4430 6202 11075 15505 21707 22150 31010 43414 77525 108535 155050 196249 217070 392498 542675 981245 1085350 1373743 1962490 2747486 4906225 6868715 9616201 9812450 13737430 19232402 34343575 48081005 68687150 96162010 240405025 480810050