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482115348 = 22331113193153
BaseRepresentation
bin11100101111000…
…111111100010100
31020121011222221000
4130233013330110
51441410142343
6115501223300
714642625051
oct3457077424
91217158830
10482115348
11228161440
12115561b30
1378b62770
144805c028
152c4d3ed3
hex1cbc7f14

482115348 has 384 divisors, whose sum is σ = 1625702400. Its totient is φ = 121305600.

The previous prime is 482115323. The next prime is 482115371. The reversal of 482115348 is 843511284.

It is a super-2 number, since 2×4821153482 = 464870417554322208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9096490 + ... + 9096542.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2482115348 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 482115348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

482115348 is an abundant number, since it is smaller than the sum of its proper divisors (1143587052).

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

482115348 is a wasteful number, since it uses less digits than its factorization.

482115348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 482115348 is about 21957.1252216678. The cubic root of 482115348 is about 784.1220243394.

The spelling of 482115348 in words is "four hundred eighty-two million, one hundred fifteen thousand, three hundred forty-eight".