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482118912 = 28331117373
BaseRepresentation
bin11100101111001…
…000110100000000
31020121012011211000
4130233020310000
51441410301122
6115501252000
714642641332
oct3457106400
91217164730
10482118912
11228164090
12115564000
1378b64282
144805d452
152c4d50ac
hex1cbc8d00

482118912 has 288 divisors, whose sum is σ = 1651224960. Its totient is φ = 137134080.

The previous prime is 482118911. The next prime is 482118919. The reversal of 482118912 is 219811284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482118911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292358 + ... + 1292730.

It is an arithmetic number, because the mean of its divisors is an integer number (5733420).

Almost surely, 2482118912 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 482118912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825612480).

482118912 is an abundant number, since it is smaller than the sum of its proper divisors (1169106048).

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

482118912 is a wasteful number, since it uses less digits than its factorization.

482118912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 406 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 482118912 is about 21957.2063796832. The cubic root of 482118912 is about 784.1239565215.

The spelling of 482118912 in words is "four hundred eighty-two million, one hundred eighteen thousand, nine hundred twelve".