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534282432 = 26319167877
BaseRepresentation
bin11111110110001…
…000000011000000
31101020100100201020
4133312020003000
52043234014212
6125003305440
716145216505
oct3766100300
91336310636
10534282432
11254652332
1212ab1b280
13868c9368
1450d5b4ac
1531d8ad8c
hex1fd880c0

534282432 has 112 divisors (see below), whose sum is σ = 1498640640. Its totient is φ = 167519232.

The previous prime is 534282431. The next prime is 534282467. The reversal of 534282432 is 234282435.

It is a junction number, because it is equal to n+sod(n) for n = 534282393 and 534282402.

It is not an unprimeable number, because it can be changed into a prime (534282431) 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, 608778 + ... + 609654.

It is an arithmetic number, because the mean of its divisors is an integer number (13380720).

Almost surely, 2534282432 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 534282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749320320).

534282432 is an abundant number, since it is smaller than the sum of its proper divisors (964358208).

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

534282432 is a wasteful number, since it uses less digits than its factorization.

534282432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1068 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 534282432 is about 23114.5502227493. The cubic root of 534282432 is about 811.4410318223.

The spelling of 534282432 in words is "five hundred thirty-four million, two hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 167 192 228 304 334 456 501 608 668 877 912 1002 1216 1336 1754 1824 2004 2631 2672 3173 3508 3648 4008 5262 5344 6346 7016 8016 9519 10524 10688 12692 14032 16032 16663 19038 21048 25384 28064 32064 33326 38076 42096 49989 50768 56128 66652 76152 84192 99978 101536 133304 146459 152304 168384 199956 203072 266608 292918 304608 399912 439377 533216 585836 609216 799824 878754 1066432 1171672 1599648 1757508 2343344 2782721 3199296 3515016 4686688 5565442 7030032 8348163 9373376 11130884 14060064 16696326 22261768 28120128 33392652 44523536 66785304 89047072 133570608 178094144 267141216 534282432