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533268320 = 25513449571
BaseRepresentation
bin11111110010010…
…000011101100000
31101011102211121112
4133302100131200
52043004041240
6124525442452
716133464064
oct3762203540
91334384545
10533268320
1125401a422
1212a710428
13866328b0
1450b75aa4
1531c3a665
hex1fc90760

533268320 has 96 divisors (see below), whose sum is σ = 1362160800. Its totient is φ = 196116480.

The previous prime is 533268319. The next prime is 533268347. The reversal of 533268320 is 23862335.

It is a super-2 number, since 2×5332683202 = 568750202231244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 933635 + ... + 934205.

It is an arithmetic number, because the mean of its divisors is an integer number (14189175).

Almost surely, 2533268320 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 533268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681080400).

533268320 is an abundant number, since it is smaller than the sum of its proper divisors (828892480).

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

533268320 is a wasteful number, since it uses less digits than its factorization.

533268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 533268320 is about 23092.6031447301. The cubic root of 533268320 is about 810.9273127186.

The spelling of 533268320 in words is "five hundred thirty-three million, two hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 449 520 571 898 1040 1142 1796 2080 2245 2284 2855 3592 4490 4568 5710 5837 7184 7423 8980 9136 11420 11674 14368 14846 17960 18272 22840 23348 29185 29692 35920 37115 45680 46696 58370 59384 71840 74230 91360 93392 116740 118768 148460 186784 233480 237536 256379 296920 466960 512758 593840 933920 1025516 1187680 1281895 2051032 2563790 3332927 4102064 5127580 6665854 8204128 10255160 13331708 16664635 20510320 26663416 33329270 41020640 53326832 66658540 106653664 133317080 266634160 533268320