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533739640 = 235719412447
BaseRepresentation
bin11111110100000…
…011100001111000
31101012022210010211
4133310003201320
52043114132030
6124543520504
716140466150
oct3764034170
91335283124
10533739640
11254311545
1212a8b9134
1386769295
1450c59760
1531cd012a
hex1fd03878

533739640 has 128 divisors (see below), whose sum is σ = 1480550400. Its totient is φ = 169067520.

The previous prime is 533739637. The next prime is 533739643. The reversal of 533739640 is 46937335.

It is an interprime number because it is at equal distance from previous prime (533739637) and next prime (533739643).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 533739593 and 533739602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533739643) 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, 216897 + ... + 219343.

It is an arithmetic number, because the mean of its divisors is an integer number (11566800).

Almost surely, 2533739640 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 533739640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

533739640 is an abundant number, since it is smaller than the sum of its proper divisors (946810760).

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

533739640 is a wasteful number, since it uses less digits than its factorization.

533739640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 40.

The square root of 533739640 is about 23102.8058901944. The cubic root of 533739640 is about 811.1661504043.

The spelling of 533739640 in words is "five hundred thirty-three million, seven hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 41 56 70 76 82 95 133 140 152 164 190 205 266 280 287 328 380 410 532 574 665 760 779 820 1064 1148 1330 1435 1558 1640 2296 2447 2660 2870 3116 3895 4894 5320 5453 5740 6232 7790 9788 10906 11480 12235 15580 17129 19576 21812 24470 27265 31160 34258 43624 46493 48940 54530 68516 85645 92986 97880 100327 109060 137032 171290 185972 200654 218120 232465 325451 342580 371944 401308 464930 501635 650902 685160 702289 802616 929860 1003270 1301804 1404578 1627255 1859720 1906213 2006540 2603608 2809156 3254510 3511445 3812426 4013080 5618312 6509020 7022890 7624852 9531065 13018040 13343491 14045780 15249704 19062130 26686982 28091560 38124260 53373964 66717455 76248520 106747928 133434910 266869820 533739640