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539995968 = 26327911867
BaseRepresentation
bin100000001011111…
…010111101000000
31101122002122012200
4200023322331000
52101214332333
6125325553200
716244614161
oct4013727500
91348078180
10539995968
112578a4a66
12130a15800
1387b49b55
1451a07768
1532618c13
hex202faf40

539995968 has 84 divisors (see below), whose sum is σ = 1567525440. Its totient is φ = 177705216.

The previous prime is 539995961. The next prime is 539995987. The reversal of 539995968 is 869599935.

539995968 is a `hidden beast` number, since 5 + 39 + 9 + 9 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (539995961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39571 + ... + 51437.

Almost surely, 2539995968 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 539995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783762720).

539995968 is an abundant number, since it is smaller than the sum of its proper divisors (1027529472).

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

539995968 is a wasteful number, since it uses less digits than its factorization.

539995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11951 counting only the distinct ones).

The product of its digits is 23619600, while the sum is 63.

The square root of 539995968 is about 23237.8133222556. The cubic root of 539995968 is about 814.3232582083.

The spelling of 539995968 in words is "five hundred thirty-nine million, nine hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 474 576 632 711 948 1264 1422 1896 2528 2844 3792 5056 5688 7584 11376 11867 15168 22752 23734 35601 45504 47468 71202 94936 106803 142404 189872 213606 284808 379744 427212 569616 759488 854424 937493 1139232 1708848 1874986 2278464 2812479 3417696 3749972 5624958 6835392 7499944 8437437 11249916 14999888 16874874 22499832 29999776 33749748 44999664 59999552 67499496 89999328 134998992 179998656 269997984 539995968