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480315080 = 23571715411
BaseRepresentation
bin11100101000010…
…000011011001000
31020110210112102102
4130220100123020
51440430040310
6115354452532
714621416340
oct3450203310
91213715372
10480315080
11227141913
12114a34148
137868220b
1447b0dd20
152c27a8a5
hex1ca106c8

480315080 has 32 divisors (see below), whose sum is σ = 1235096640. Its totient is φ = 164679360.

The previous prime is 480315061. The next prime is 480315113. The reversal of 480315080 is 80513084.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 857426 + ... + 857985.

It is an arithmetic number, because the mean of its divisors is an integer number (38596770).

Almost surely, 2480315080 is an apocalyptic number.

480315080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480315080 is an abundant number, since it is smaller than the sum of its proper divisors (754781560).

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

480315080 is a wasteful number, since it uses less digits than its factorization.

480315080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715429 (or 1715425 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 480315080 is about 21916.0918048816. The cubic root of 480315080 is about 783.1448097197.

The spelling of 480315080 in words is "four hundred eighty million, three hundred fifteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1715411 3430822 6861644 8577055 12007877 13723288 17154110 24015754 34308220 48031508 60039385 68616440 96063016 120078770 240157540 480315080