Search a number
-
+
482057424 = 243219716993
BaseRepresentation
bin11100101110111…
…001110011010000
31020121002001110200
4130232321303100
51441401314144
6115500055200
714642264142
oct3456716320
91217061420
10482057424
11228121972
12115534500
1378b422a4
1448044c92
152c4c1c69
hex1cbb9cd0

482057424 has 60 divisors (see below), whose sum is σ = 1356019236. Its totient is φ = 159860736.

The previous prime is 482057399. The next prime is 482057449. The reversal of 482057424 is 424750284.

482057424 is a `hidden beast` number, since 4 + 82 + 0 + 574 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (482057399) and next prime (482057449).

It can be written as a sum of positive squares in 2 ways, for example, as 298183824 + 183873600 = 17268^2 + 13560^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19872 + ... + 36864.

Almost surely, 2482057424 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 482057424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678009618).

482057424 is an abundant number, since it is smaller than the sum of its proper divisors (873961812).

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

482057424 is a wasteful number, since it uses less digits than its factorization.

482057424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17204 (or 17195 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 482057424 is about 21955.8061569144. The cubic root of 482057424 is about 784.0906201651.

The spelling of 482057424 in words is "four hundred eighty-two million, fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 9456 14184 16993 28368 33986 50979 67972 101958 135944 152937 203916 271888 305874 407832 611748 815664 1223496 2446992 3347621 6695242 10042863 13390484 20085726 26780968 30128589 40171452 53561936 60257178 80342904 120514356 160685808 241028712 482057424