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533076864 = 27313710133
BaseRepresentation
bin11111110001100…
…001101110000000
31101011002002222120
4133301201232000
52042431424424
6124521404240
716132035645
oct3761415600
91334062876
10533076864
112539a95a1
1212a639680
13865966c8
1450b25dcc
1531beda79
hex1fc61b80

533076864 has 64 divisors (see below), whose sum is σ = 1426461840. Its totient is φ = 176377856.

The previous prime is 533076851. The next prime is 533076881. The reversal of 533076864 is 468670335.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47542 + ... + 57674.

Almost surely, 2533076864 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 533076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713230920).

533076864 is an abundant number, since it is smaller than the sum of its proper divisors (893384976).

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

533076864 is a wasteful number, since it uses less digits than its factorization.

533076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10287 (or 10275 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 533076864 is about 23088.4573759270. The cubic root of 533076864 is about 810.8302537099.

The spelling of 533076864 in words is "five hundred thirty-three million, seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 548 822 1096 1644 2192 3288 4384 6576 8768 10133 13152 17536 20266 26304 30399 40532 52608 60798 81064 121596 162128 243192 324256 486384 648512 972768 1297024 1388221 1945536 2776442 3891072 4164663 5552884 8329326 11105768 16658652 22211536 33317304 44423072 66634608 88846144 133269216 177692288 266538432 533076864