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533776672 = 251113671741
BaseRepresentation
bin11111110100001…
…100100100100000
31101012101122221101
4133310030210200
52043121323142
6124544404144
716141012132
oct3764144440
91335348841
10533776672
11254337350
1212a916654
13867800b0
1450c69052
1531cdb0b7
hex1fd0c920

533776672 has 96 divisors (see below), whose sum is σ = 1253738304. Its totient is φ = 220492800.

The previous prime is 533776667. The next prime is 533776679. The reversal of 533776672 is 276677335.

It is not an unprimeable number, because it can be changed into a prime (533776679) 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 15 ways as a sum of consecutive naturals, for example, 305722 + ... + 307462.

It is an arithmetic number, because the mean of its divisors is an integer number (13059774).

Almost surely, 2533776672 is an apocalyptic number.

533776672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533776672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626869152).

533776672 is an abundant number, since it is smaller than the sum of its proper divisors (719961632).

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

533776672 is a wasteful number, since it uses less digits than its factorization.

533776672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1834 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 46.

The square root of 533776672 is about 23103.6073373835. The cubic root of 533776672 is about 811.1849101190.

The spelling of 533776672 in words is "five hundred thirty-three million, seven hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 67 88 104 134 143 176 208 268 286 352 416 536 572 737 871 1072 1144 1474 1741 1742 2144 2288 2948 3482 3484 4576 5896 6964 6968 9581 11792 13928 13936 19151 19162 22633 23584 27856 27872 38302 38324 45266 55712 76604 76648 90532 116647 153208 153296 181064 233294 248963 306416 306592 362128 466588 497926 612832 724256 933176 995852 1283117 1516411 1866352 1991704 2566234 3032822 3732704 3983408 5132468 6065644 7966816 10264936 12131288 16680521 20529872 24262576 33361042 41059744 48525152 66722084 133444168 266888336 533776672