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480782580 = 22358013043
BaseRepresentation
bin11100101010000…
…010100011110100
31020111200021201020
4130222002203310
51441040020310
6115412501140
714625404325
oct3452024364
91214607636
10480782580
11227431083
1211501a7b0
13787b6c45
1447bd244c
152c31e170
hex1ca828f4

480782580 has 24 divisors (see below), whose sum is σ = 1346191392. Its totient is φ = 128208672.

The previous prime is 480782543. The next prime is 480782587. The reversal of 480782580 is 85287084.

It is a super-3 number, since 3×4807825803 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480782587) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4006462 + ... + 4006581.

It is an arithmetic number, because the mean of its divisors is an integer number (56091308).

Almost surely, 2480782580 is an apocalyptic number.

It is an amenable number.

480782580 is an abundant number, since it is smaller than the sum of its proper divisors (865408812).

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

480782580 is a wasteful number, since it uses less digits than its factorization.

480782580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013055 (or 8013053 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 480782580 is about 21926.7548898600. The cubic root of 480782580 is about 783.3988106828.

The spelling of 480782580 in words is "four hundred eighty million, seven hundred eighty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 8013043 16026086 24039129 32052172 40065215 48078258 80130430 96156516 120195645 160260860 240391290 480782580