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530082828 = 2232116719979
BaseRepresentation
bin11111100110000…
…110110000001100
31100221102222221100
4133212012300030
52041200122303
6124333303100
716064425662
oct3746066014
91327388840
10530082828
11252244090
12129634a90
1385a889a2
1450586c32
153180b8a3
hex1f986c0c

530082828 has 72 divisors (see below), whose sum is σ = 1483634880. Its totient is φ = 158225760.

The previous prime is 530082823. The next prime is 530082841. The reversal of 530082828 is 828280035.

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 = 530082792 and 530082801.

It is not an unprimeable number, because it can be changed into a prime (530082821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16543 + ... + 36521.

It is an arithmetic number, because the mean of its divisors is an integer number (20606040).

Almost surely, 2530082828 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 530082828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741817440).

530082828 is an abundant number, since it is smaller than the sum of its proper divisors (953552052).

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

530082828 is a wasteful number, since it uses less digits than its factorization.

530082828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20067 (or 20062 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 530082828 is about 23023.5277053713. The cubic root of 530082828 is about 809.3093884849.

The spelling of 530082828 in words is "five hundred thirty million, eighty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 2211 2412 2948 4422 6633 8844 13266 19979 26532 39958 59937 79916 119874 179811 219769 239748 359622 439538 659307 719244 879076 1318614 1338593 1977921 2637228 2677186 3955842 4015779 5354372 7911684 8031558 12047337 14724523 16063116 24094674 29449046 44173569 48189348 58898092 88347138 132520707 176694276 265041414 530082828