Search a number
-
+
531326208 = 283732017
BaseRepresentation
bin11111101010110…
…110010100000000
31101000210011112110
4133222312110000
52042004414313
6124420055320
716111125000
oct3752662400
91330704473
10531326208
11252a13276
12129b34540
138610290a
14507cc000
15319a4ec3
hex1fab6500

531326208 has 144 divisors (see below), whose sum is σ = 1649916800. Its totient is φ = 151732224.

The previous prime is 531326171. The next prime is 531326227. The reversal of 531326208 is 802623135.

It is a congruent number.

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, 262416 + ... + 264432.

Almost surely, 2531326208 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 531326208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824958400).

531326208 is an abundant number, since it is smaller than the sum of its proper divisors (1118590592).

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

531326208 is an equidigital number, since it uses as much as digits as its factorization.

531326208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 531326208 is about 23050.5142675820. The cubic root of 531326208 is about 809.9416754224.

It can be divided in two parts, 53132 and 6208, that added together give a triangular number (59340 = T344).

The spelling of 531326208 in words is "five hundred thirty-one million, three hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 588 672 686 768 784 896 1029 1176 1344 1372 1568 1792 2017 2058 2352 2688 2744 3136 4034 4116 4704 5376 5488 6051 6272 8068 8232 9408 10976 12102 12544 14119 16136 16464 18816 21952 24204 28238 32272 32928 37632 42357 43904 48408 56476 64544 65856 84714 87808 96816 98833 112952 129088 131712 169428 193632 197666 225904 258176 263424 296499 338856 387264 395332 451808 516352 592998 677712 691831 774528 790664 903616 1185996 1355424 1383662 1549056 1581328 1807232 2075493 2371992 2710848 2767324 3162656 3614464 4150986 4743984 5421696 5534648 6325312 8301972 9487968 10843392 11069296 12650624 16603944 18975936 22138592 25301248 33207888 37951872 44277184 66415776 75903744 88554368 132831552 177108736 265663104 531326208