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534766608 = 243241531709
BaseRepresentation
bin11111110111111…
…110010000010000
31101021020221212200
4133313332100100
52043400012413
6125021523200
716152304215
oct3767762020
91337227780
10534766608
11254953082
1212b113500
1386a3885c
1451045b0c
1531e34573
hex1fdfe410

534766608 has 120 divisors (see below), whose sum is σ = 1562946840. Its totient is φ = 170526720.

The previous prime is 534766601. The next prime is 534766613. The reversal of 534766608 is 806667435.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 533055744 = 1308^2 + 23088^2 .

It is not an unprimeable number, because it can be changed into a prime (534766601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312058 + ... + 313766.

It is an arithmetic number, because the mean of its divisors is an integer number (13024557).

Almost surely, 2534766608 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 534766608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781473420).

534766608 is an abundant number, since it is smaller than the sum of its proper divisors (1028180232).

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

534766608 is a wasteful number, since it uses less digits than its factorization.

534766608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 534766608 is about 23125.0212540443. The cubic root of 534766608 is about 811.6860717930.

The spelling of 534766608 in words is "five hundred thirty-four million, seven hundred sixty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 53 72 82 106 123 144 159 164 212 246 318 328 369 424 477 492 636 656 738 848 954 984 1272 1476 1709 1908 1968 2173 2544 2952 3418 3816 4346 5127 5904 6519 6836 7632 8692 10254 13038 13672 15381 17384 19557 20508 26076 27344 30762 34768 39114 41016 52152 61524 70069 78228 82032 90577 104304 123048 140138 156456 181154 210207 246096 271731 280276 312912 362308 420414 543462 560552 630621 724616 815193 840828 1086924 1121104 1261242 1449232 1630386 1681656 2173848 2522484 3260772 3363312 3713657 4347696 5044968 6521544 7427314 10089936 11140971 13043088 14854628 22281942 29709256 33422913 44563884 59418512 66845826 89127768 133691652 178255536 267383304 534766608