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530042832 = 243311711571
BaseRepresentation
bin11111100101111…
…100111111010000
31100221100222002000
4133211330333100
52041142332312
6124332354000
716064201244
oct3745747720
91327328060
10530042832
11252217030
12129615900
1385a73717
1450576424
15317eeadc
hex1f97cfd0

530042832 has 160 divisors (see below), whose sum is σ = 1684177920. Its totient is φ = 158256000.

The previous prime is 530042819. The next prime is 530042839. The reversal of 530042832 is 238240035.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 530042796 and 530042805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530042839) 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 31 ways as a sum of consecutive naturals, for example, 336607 + ... + 338177.

It is an arithmetic number, because the mean of its divisors is an integer number (10526112).

Almost surely, 2530042832 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 530042832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842088960).

530042832 is an abundant number, since it is smaller than the sum of its proper divisors (1154135088).

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

530042832 is a wasteful number, since it uses less digits than its factorization.

530042832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 530042832 is about 23022.6590992439. The cubic root of 530042832 is about 809.2890332053.

Adding to 530042832 its reverse (238240035), we get a palindrome (768282867).

The spelling of 530042832 in words is "five hundred thirty million, forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 71 72 88 99 108 132 142 144 176 198 213 216 264 284 297 396 426 432 528 568 594 639 781 792 852 1136 1188 1278 1562 1571 1584 1704 1917 2343 2376 2556 3124 3142 3408 3834 4686 4713 4752 5112 6248 6284 7029 7668 9372 9426 10224 12496 12568 14058 14139 15336 17281 18744 18852 21087 25136 28116 28278 30672 34562 37488 37704 42174 42417 51843 56232 56556 69124 75408 84348 84834 103686 111541 112464 113112 138248 155529 168696 169668 207372 223082 226224 276496 311058 334623 337392 339336 414744 446164 466587 622116 669246 678672 829488 892328 933174 1003869 1226951 1244232 1338492 1784656 1866348 2007738 2453902 2488464 2676984 3011607 3680853 3732696 4015476 4907804 5353968 6023214 7361706 7465392 8030952 9815608 11042559 12046428 14723412 16061904 19631216 22085118 24092856 29446824 33127677 44170236 48185712 58893648 66255354 88340472 132510708 176680944 265021416 530042832