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530054928 = 24351310487
BaseRepresentation
bin11111100101111…
…111111100010000
31100221101120200000
4133211333330100
52041143224203
6124332530000
716064251434
oct3745777420
91327346600
10530054928
11252225127
12129620900
1385a79090
145057a9c4
15318034a3
hex1f97ff10

530054928 has 120 divisors (see below), whose sum is σ = 1656852288. Its totient is φ = 163078272.

The previous prime is 530054927. The next prime is 530054981. The reversal of 530054928 is 829450035.

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 = 530054892 and 530054901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530054923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45301 + ... + 55787.

Almost surely, 2530054928 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 530054928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828426144).

530054928 is an abundant number, since it is smaller than the sum of its proper divisors (1126797360).

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

530054928 is a wasteful number, since it uses less digits than its factorization.

530054928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 530054928 is about 23022.9217954629. The cubic root of 530054928 is about 809.2951893655.

The spelling of 530054928 in words is "five hundred thirty million, fifty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 10487 12636 16848 20974 25272 31461 41948 50544 62922 83896 94383 125844 136331 167792 188766 251688 272662 283149 377532 408993 503376 545324 566298 755064 817986 849447 1090648 1132596 1226979 1510128 1635972 1698894 2181296 2265192 2453958 2548341 3271944 3397788 3680937 4530384 4907916 5096682 6543888 6795576 7361874 9815832 10193364 11042811 13591152 14723748 19631664 20386728 22085622 29447496 33128433 40773456 44171244 58894992 66256866 88342488 132513732 176684976 265027464 530054928