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531860480 = 2105731423
BaseRepresentation
bin11111101100111…
…000110000000000
31101001210022102022
4133230320300000
52042124013410
6124435341012
716115511434
oct3754706000
91331708368
10531860480
11253248718
1212a151768
138625bb58
14508ca9c4
1531a5d455
hex1fb38c00

531860480 has 88 divisors (see below), whose sum is σ = 1294228032. Its totient is φ = 209682432.

The previous prime is 531860467. The next prime is 531860489. The reversal of 531860480 is 84068135.

It is a self number, because there is not a number n which added to its sum of digits gives 531860480.

It is not an unprimeable number, because it can be changed into a prime (531860489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373049 + ... + 374471.

Almost surely, 2531860480 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 531860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647114016).

531860480 is an abundant number, since it is smaller than the sum of its proper divisors (762367552).

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

531860480 is a wasteful number, since it uses less digits than its factorization.

531860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 531860480 is about 23062.1005114452. The cubic root of 531860480 is about 810.2130618704.

The spelling of 531860480 in words is "five hundred thirty-one million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 512 584 640 730 1024 1168 1280 1423 1460 2336 2560 2846 2920 4672 5120 5692 5840 7115 9344 11384 11680 14230 18688 22768 23360 28460 37376 45536 46720 56920 74752 91072 93440 103879 113840 182144 186880 207758 227680 364288 373760 415516 455360 519395 728576 831032 910720 1038790 1457152 1662064 1821440 2077580 3324128 3642880 4155160 6648256 7285760 8310320 13296512 16620640 26593024 33241280 53186048 66482560 106372096 132965120 265930240 531860480