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533713248 = 25324371607
BaseRepresentation
bin11111110011111…
…101000101100000
31101012021102221100
4133303331011200
52043112310443
6124543154400
716140326205
oct3763750540
91335242840
10533713248
112542a3732
1212a8a5a00
138675a273
1450c4dcac
1531cc73d3
hex1fcfd160

533713248 has 144 divisors (see below), whose sum is σ = 1577511936. Its totient is φ = 171037440.

The previous prime is 533713241. The next prime is 533713253. The reversal of 533713248 is 842317335.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533713241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878961 + ... + 879567.

It is an arithmetic number, because the mean of its divisors is an integer number (10954944).

Almost surely, 2533713248 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 533713248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788755968).

533713248 is an abundant number, since it is smaller than the sum of its proper divisors (1043798688).

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

533713248 is a wasteful number, since it uses less digits than its factorization.

533713248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 726 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 533713248 is about 23102.2346971024. The cubic root of 533713248 is about 811.1527801838.

The spelling of 533713248 in words is "five hundred thirty-three million, seven hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 71 72 86 96 129 142 144 172 213 258 284 288 344 387 426 516 568 607 639 688 774 852 1032 1136 1214 1278 1376 1548 1704 1821 2064 2272 2428 2556 3053 3096 3408 3642 4128 4856 5112 5463 6106 6192 6816 7284 9159 9712 10224 10926 12212 12384 14568 18318 19424 20448 21852 24424 26101 27477 29136 36636 43097 43704 48848 52202 54954 58272 73272 78303 86194 87408 97696 104404 109908 129291 146544 156606 172388 174816 208808 219816 234909 258582 293088 313212 344776 387873 417616 439632 469818 517164 626424 689552 775746 835232 879264 939636 1034328 1252848 1379104 1551492 1853171 1879272 2068656 2505696 3102984 3706342 3758544 4137312 5559513 6205968 7412684 7517088 11119026 12411936 14825368 16678539 22238052 29650736 33357078 44476104 59301472 66714156 88952208 133428312 177904416 266856624 533713248