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482145216 = 26371979239
BaseRepresentation
bin11100101111001…
…111001111000000
31020121020111220020
4130233033033000
51441412121331
6115502013440
714643111120
oct3457171700
91217214806
10482145216
11228181923
12115577280
1378b73237
1448068c80
152c4dcc96
hex1cbcf3c0

482145216 has 224 divisors, whose sum is σ = 1560576000. Its totient is φ = 128314368.

The previous prime is 482145203. The next prime is 482145247. The reversal of 482145216 is 612541284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2017225 + ... + 2017463.

Almost surely, 2482145216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780288000).

482145216 is an abundant number, since it is smaller than the sum of its proper divisors (1078430784).

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

482145216 is a wasteful number, since it uses less digits than its factorization.

482145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 482145216 is about 21957.8053548163. The cubic root of 482145216 is about 784.1382166421.

The spelling of 482145216 in words is "four hundred eighty-two million, one hundred forty-five thousand, two hundred sixteen".