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482280320 = 275898467
BaseRepresentation
bin11100101111110…
…000001110000000
31020121111101020002
4130233300032000
51441430432240
6115504535132
714644213034
oct3457601600
91217441202
10482280320
11228264385
121156214a8
1378bbc892
14480a21c4
152c517d15
hex1cbf0380

482280320 has 64 divisors (see below), whose sum is σ = 1166043600. Its totient is φ = 190722048.

The previous prime is 482280319. The next prime is 482280343. The reversal of 482280320 is 23082284.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 52727 + ... + 61193.

Almost surely, 2482280320 is an apocalyptic number.

482280320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583021800).

482280320 is an abundant number, since it is smaller than the sum of its proper divisors (683763280).

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

482280320 is an equidigital number, since it uses as much as digits as its factorization.

482280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 482280320 is about 21960.8815852188. The cubic root of 482280320 is about 784.2114520577.

The spelling of 482280320 in words is "four hundred eighty-two million, two hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 320 356 445 640 712 890 1424 1780 2848 3560 5696 7120 8467 11392 14240 16934 28480 33868 42335 56960 67736 84670 135472 169340 270944 338680 541888 677360 753563 1083776 1354720 1507126 2709440 3014252 3767815 5418880 6028504 7535630 12057008 15071260 24114016 30142520 48228032 60285040 96456064 120570080 241140160 482280320