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480912100 = 22524809121
BaseRepresentation
bin11100101010100…
…010001011100100
31020111220212101021
4130222202023210
51441103141400
6115415340524
714626454044
oct3452421344
91214825337
10480912100
1122750a419
12115081744
1378830b96
1447c27724
152c34771a
hex1caa22e4

480912100 has 18 divisors (see below), whose sum is σ = 1043579474. Its totient is φ = 192364800.

The previous prime is 480912073. The next prime is 480912121. The reversal of 480912100 is 1219084.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 67765824 + 413146276 = 8232^2 + 20326^2 .

It is a super-3 number, since 3×4809121003 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 in 5 ways as a sum of consecutive naturals, for example, 2404461 + ... + 2404660.

Almost surely, 2480912100 is an apocalyptic number.

It is an amenable number.

480912100 is an abundant number, since it is smaller than the sum of its proper divisors (562667374).

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

480912100 is a wasteful number, since it uses less digits than its factorization.

480912100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809135 (or 4809128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 480912100 is about 21929.7081603928. The cubic root of 480912100 is about 783.4691520444.

The spelling of 480912100 in words is "four hundred eighty million, nine hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4809121 9618242 19236484 24045605 48091210 96182420 120228025 240456050 480912100