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482801280 = 27351323292
BaseRepresentation
bin11100110001101…
…111011010000000
31020122110211211220
4130301233122000
51442044120110
6115524035040
714651512623
oct3461573200
91218424756
10482801280
1122858a825
12115832a80
1379042a40
1448199dba
152c5bc370
hex1cc6f680

482801280 has 384 divisors, whose sum is σ = 1791054720. Its totient is φ = 109756416.

The previous prime is 482801279. The next prime is 482801287. The reversal of 482801280 is 82108284.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482801287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16648306 + ... + 16648334.

It is an arithmetic number, because the mean of its divisors is an integer number (4664205).

Almost surely, 2482801280 is an apocalyptic number.

482801280 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 482801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895527360).

482801280 is an abundant number, since it is smaller than the sum of its proper divisors (1308253440).

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

482801280 is a wasteful number, since it uses less digits than its factorization.

482801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 482801280 is about 21972.7394741757. The cubic root of 482801280 is about 784.4937192832.

The spelling of 482801280 in words is "four hundred eighty-two million, eight hundred one thousand, two hundred eighty".