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490134528 = 21032134091
BaseRepresentation
bin11101001101101…
…101110000000000
31021011021102011200
4131031231300000
52000433301103
6120345141200
715101034432
oct3515556000
91234242150
10490134528
11231739364
1211818a800
137a70c840
1449148652
152d06a0a3
hex1d36dc00

490134528 has 132 divisors (see below), whose sum is σ = 1524490968. Its totient is φ = 150773760.

The previous prime is 490134527. The next prime is 490134551. The reversal of 490134528 is 825431094.

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

It is a junction number, because it is equal to n+sod(n) for n = 490134492 and 490134501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490134527) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 117763 + ... + 121853.

It is an arithmetic number, because the mean of its divisors is an integer number (11549174).

Almost surely, 2490134528 is an apocalyptic number.

490134528 is a gapful number since it is divisible by the number (48) 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 490134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762245484).

490134528 is an abundant number, since it is smaller than the sum of its proper divisors (1034356440).

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

490134528 is a wasteful number, since it uses less digits than its factorization.

490134528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 490134528 is about 22138.9820904214. The cubic root of 490134528 is about 788.4456582207.

The spelling of 490134528 in words is "four hundred ninety million, one hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4091 4608 4992 6656 7488 8182 9216 9984 12273 13312 14976 16364 19968 24546 29952 32728 36819 39936 49092 53183 59904 65456 73638 98184 106366 119808 130912 147276 159549 196368 212732 261824 294552 319098 392736 425464 478647 523648 589104 638196 785472 850928 957294 1047296 1178208 1276392 1570944 1701856 1914588 2094592 2356416 2552784 3141888 3403712 3829176 4189184 4712832 5105568 6283776 6807424 7658352 9425664 10211136 12567552 13614848 15316704 18851328 20422272 27229696 30633408 37702656 40844544 54459392 61266816 81689088 122533632 163378176 245067264 490134528