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482043936 = 253112389223
BaseRepresentation
bin11100101110110…
…110100000100000
31020121001100222010
4130232312200200
51441400401221
6115455512520
714642206623
oct3456664040
91217040863
10482043936
11228112820
12115528740
1378b390ca
144803ddba
152c4bcc76
hex1cbb6820

482043936 has 192 divisors, whose sum is σ = 1463132160. Its totient is φ = 137533440.

The previous prime is 482043917. The next prime is 482043949. The reversal of 482043936 is 639340284.

It is a junction number, because it is equal to n+sod(n) for n = 482043894 and 482043903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2161521 + ... + 2161743.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2482043936 is an apocalyptic number.

482043936 is a gapful number since it is divisible by the number (46) 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 482043936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731566080).

482043936 is an abundant number, since it is smaller than the sum of its proper divisors (981088224).

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

482043936 is a wasteful number, since it uses less digits than its factorization.

482043936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 482043936 is about 21955.4989922798. The cubic root of 482043936 is about 784.0833071270.

The spelling of 482043936 in words is "four hundred eighty-two million, forty-three thousand, nine hundred thirty-six".