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533009960 = 23574913877
BaseRepresentation
bin11111110001010…
…001011000101000
31101010221201012122
4133301101120220
52042422304320
6124520130412
716131336620
oct3761213050
91333851178
10533009960
112539632aa
1212a606a08
1386572112
1450b09880
1531bd8d25
hex1fc51628

533009960 has 64 divisors (see below), whose sum is σ = 1373742720. Its totient is φ = 182327040.

The previous prime is 533009957. The next prime is 533009969. The reversal of 533009960 is 69900335.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 533009960.

It is not an unprimeable number, because it can be changed into a prime (533009969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135542 + ... + 139418.

It is an arithmetic number, because the mean of its divisors is an integer number (21464730).

Almost surely, 2533009960 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 533009960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686871360).

533009960 is an abundant number, since it is smaller than the sum of its proper divisors (840732760).

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

533009960 is a wasteful number, since it uses less digits than its factorization.

533009960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 35.

The square root of 533009960 is about 23087.0084679674. The cubic root of 533009960 is about 810.7963311116.

The spelling of 533009960 in words is "five hundred thirty-three million, nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 491 982 1964 2455 3437 3877 3928 4910 6874 7754 9820 13748 15508 17185 19385 19640 27139 27496 31016 34370 38770 54278 68740 77540 108556 135695 137480 155080 217112 271390 542780 1085560 1903607 3807214 7614428 9518035 13325249 15228856 19036070 26650498 38072140 53300996 66626245 76144280 106601992 133252490 266504980 533009960