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482189760 = 263751353
BaseRepresentation
bin11100101111011…
…010000111000000
31020121022210000000
4130233122013000
51441420033020
6115503000000
714643355023
oct3457320700
91217283000
10482189760
11228202338
12115599000
1378b8a5b0
144807b1ba
152c4eb090
hex1cbda1c0

482189760 has 448 divisors, whose sum is σ = 1889516160. Its totient is φ = 116453376.

The previous prime is 482189753. The next prime is 482189761. The reversal of 482189760 is 67981284.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482189761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9097894 + ... + 9097946.

It is an arithmetic number, because the mean of its divisors is an integer number (4217670).

Almost surely, 2482189760 is an apocalyptic number.

482189760 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 482189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944758080).

482189760 is an abundant number, since it is smaller than the sum of its proper divisors (1407326400).

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

482189760 is an equidigital number, since it uses as much as digits as its factorization.

482189760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 482189760 is about 21958.8196404087. The cubic root of 482189760 is about 784.1623639847.

The spelling of 482189760 in words is "four hundred eighty-two million, one hundred eighty-nine thousand, seven hundred sixty".