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530288976 = 24373311039
BaseRepresentation
bin11111100110111…
…001000101010000
31100221211110201110
4133212321011100
52041223221401
6124341533320
716066245000
oct3746710520
91327743643
10530288976
11252374a58
12129714240
1385b2b779
14505dc000
153184c9d6
hex1f9b9150

530288976 has 160 divisors (see below), whose sum is σ = 1650688000. Its totient is φ = 146482560.

The previous prime is 530288971. The next prime is 530288981. The reversal of 530288976 is 679882035.

It is an interprime number because it is at equal distance from previous prime (530288971) and next prime (530288981).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530288971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509865 + ... + 510903.

It is an arithmetic number, because the mean of its divisors is an integer number (10316800).

Almost surely, 2530288976 is an apocalyptic number.

530288976 is a gapful number since it is divisible by the number (56) 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 530288976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825344000).

530288976 is an abundant number, since it is smaller than the sum of its proper divisors (1120399024).

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

530288976 is a wasteful number, since it uses less digits than its factorization.

530288976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 530288976 is about 23028.0041688376. The cubic root of 530288976 is about 809.4142877447.

The spelling of 530288976 in words is "five hundred thirty million, two hundred eighty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 343 372 392 434 496 588 651 686 744 784 868 1029 1039 1176 1302 1372 1488 1519 1736 2058 2078 2352 2604 2744 3038 3117 3472 4116 4156 4557 5208 5488 6076 6234 7273 8232 8312 9114 10416 10633 12152 12468 14546 16464 16624 18228 21266 21819 24304 24936 29092 31899 32209 36456 42532 43638 49872 50911 58184 63798 64418 72912 85064 87276 96627 101822 116368 127596 128836 152733 170128 174552 193254 203644 225463 255192 257672 305466 349104 356377 386508 407288 450926 510384 515344 610932 676389 712754 773016 814576 901852 1069131 1221864 1352778 1425508 1546032 1578241 1803704 2138262 2443728 2705556 2851016 3156482 3607408 4276524 4734723 5411112 5702032 6312964 8553048 9469446 10822224 11047687 12625928 17106096 18938892 22095374 25251856 33143061 37877784 44190748 66286122 75755568 88381496 132572244 176762992 265144488 530288976