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530738352 = 24333139631
BaseRepresentation
bin11111101000100…
…110110010110000
31100222200022011000
4133220212302300
52041332111402
6124355322000
716103126064
oct3750466260
91328608130
10530738352
11252651641
121298b0300
1385c58181
14506b7aa4
15318dac1c
hex1fa26cb0

530738352 has 80 divisors (see below), whose sum is σ = 1572597760. Its totient is φ = 171201600.

The previous prime is 530738347. The next prime is 530738387. The reversal of 530738352 is 253837035.

530738352 is a `hidden beast` number, since 530 + 73 + 8 + 3 + 52 = 666.

It is a super-3 number, since 3×5307383523 (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6424 + ... + 33207.

It is an arithmetic number, because the mean of its divisors is an integer number (19657472).

Almost surely, 2530738352 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 530738352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786298880).

530738352 is an abundant number, since it is smaller than the sum of its proper divisors (1041859408).

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

530738352 is a wasteful number, since it uses less digits than its factorization.

530738352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39679 (or 39667 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 530738352 is about 23037.7592660397. The cubic root of 530738352 is about 809.6428603883.

It can be divided in two parts, 53073 and 8352, that added together give a triangular number (61425 = T350).

The spelling of 530738352 in words is "five hundred thirty million, seven hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 39631 79262 118893 158524 237786 317048 356679 475572 634096 713358 951144 1070037 1228561 1426716 1902288 2140074 2457122 2853432 3685683 4280148 4914244 5706864 7371366 8560296 9828488 11057049 14742732 17120592 19656976 22114098 29485464 33171147 44228196 58970928 66342294 88456392 132684588 176912784 265369176 530738352