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480105400 = 235212131979
BaseRepresentation
bin11100100111011…
…101001110111000
31020110101212210111
4130213131032320
51440401333100
6115350154104
714616554125
oct3447351670
91213355714
10480105400
11227009325
12114952934
137860a948
1447a9774c
152c2386ba
hex1c9dd3b8

480105400 has 48 divisors (see below), whose sum is σ = 1117729800. Its totient is φ = 191786880.

The previous prime is 480105359. The next prime is 480105443. The reversal of 480105400 is 4501084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241611 + ... + 243589.

Almost surely, 2480105400 is an apocalyptic number.

480105400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480105400 is an abundant number, since it is smaller than the sum of its proper divisors (637624400).

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

480105400 is a wasteful number, since it uses less digits than its factorization.

480105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 480105400 is about 21911.3075830723. The cubic root of 480105400 is about 783.0308333520.

Adding to 480105400 its reverse (4501084), we get a palindrome (484606484).

The spelling of 480105400 in words is "four hundred eighty million, one hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1213 1979 2426 3958 4852 6065 7916 9704 9895 12130 15832 19790 24260 30325 39580 48520 49475 60650 79160 98950 121300 197900 242600 395800 2400527 4801054 9602108 12002635 19204216 24005270 48010540 60013175 96021080 120026350 240052700 480105400