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533206240 = 25572232957
BaseRepresentation
bin11111110010000…
…001010011100000
31101011022200110021
4133302001103200
52043000044430
6124524243224
716133115100
oct3762012340
91334280407
10533206240
11253a87816
1212a6a0514
1386610568
1450b5b200
1531c2707a
hex1fc814e0

533206240 has 144 divisors (see below), whose sum is σ = 1529593632. Its totient is φ = 174806016.

The previous prime is 533206199. The next prime is 533206249. The reversal of 533206240 is 42602335.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533206249) 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 23 ways as a sum of consecutive naturals, for example, 178842 + ... + 181798.

It is an arithmetic number, because the mean of its divisors is an integer number (10622178).

Almost surely, 2533206240 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 533206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764796816).

533206240 is an abundant number, since it is smaller than the sum of its proper divisors (996387392).

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

533206240 is a wasteful number, since it uses less digits than its factorization.

533206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 533206240 is about 23091.2589522529. The cubic root of 533206240 is about 810.8958436818.

Adding to 533206240 its reverse (42602335), we get a palindrome (575808575).

The spelling of 533206240 in words is "five hundred thirty-three million, two hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 49 56 70 80 92 98 112 115 140 160 161 184 196 224 230 245 280 322 368 392 460 490 560 644 736 784 805 920 980 1120 1127 1288 1568 1610 1840 1960 2254 2576 2957 3220 3680 3920 4508 5152 5635 5914 6440 7840 9016 11270 11828 12880 14785 18032 20699 22540 23656 25760 29570 36064 41398 45080 47312 59140 68011 82796 90160 94624 103495 118280 136022 144893 165592 180320 206990 236560 272044 289786 331184 340055 413980 473120 476077 544088 579572 662368 680110 724465 827960 952154 1088176 1159144 1360220 1448930 1655920 1904308 2176352 2318288 2380385 2720440 2897860 3311840 3332539 3808616 4636576 4760770 5440880 5795720 6665078 7617232 9521540 10881760 11591440 13330156 15234464 16662695 19043080 23182880 26660312 33325390 38086160 53320624 66650780 76172320 106641248 133301560 266603120 533206240