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533876352 = 27313110613
BaseRepresentation
bin11111110100100…
…100111010000000
31101012120201200020
4133310210322000
52043133020402
6124550453440
716141605552
oct3764447200
91335521606
10533876352
112543a5229
1212a964280
13867b6589
1450c934d2
1531d0a8bc
hex1fd24e80

533876352 has 64 divisors (see below), whose sum is σ = 1429068960. Its totient is φ = 176583680.

The previous prime is 533876311. The next prime is 533876353. The reversal of 533876352 is 253678335.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (533876353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44998 + ... + 55610.

Almost surely, 2533876352 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 533876352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714534480).

533876352 is an abundant number, since it is smaller than the sum of its proper divisors (895192608).

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

533876352 is a wasteful number, since it uses less digits than its factorization.

533876352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10761 (or 10749 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 533876352 is about 23105.7644755589. The cubic root of 533876352 is about 811.2354018217.

The spelling of 533876352 in words is "five hundred thirty-three million, eight hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 3144 4192 6288 8384 10613 12576 16768 21226 25152 31839 42452 50304 63678 84904 127356 169808 254712 339616 509424 679232 1018848 1358464 1390303 2037696 2780606 4075392 4170909 5561212 8341818 11122424 16683636 22244848 33367272 44489696 66734544 88979392 133469088 177958784 266938176 533876352