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534632868 = 22327111910151
BaseRepresentation
bin11111110111011…
…101100110100100
31101021000011102100
4133313131212210
52043331222433
6125015012100
716151206260
oct3767354644
91337004370
10534632868
11254871650
1212b06a030
13869bca13
145100d0a0
1531e09b13
hex1fddd9a4

534632868 has 144 divisors (see below), whose sum is σ = 1773757440. Its totient is φ = 131544000.

The previous prime is 534632867. The next prime is 534632921. The reversal of 534632868 is 868236435.

It is a happy number.

534632868 is a `hidden beast` number, since 5 + 3 + 4 + 632 + 8 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (534632867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47593 + ... + 57743.

It is an arithmetic number, because the mean of its divisors is an integer number (12317760).

Almost surely, 2534632868 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 534632868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886878720).

534632868 is an abundant number, since it is smaller than the sum of its proper divisors (1239124572).

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

534632868 is a wasteful number, since it uses less digits than its factorization.

534632868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 10193 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 534632868 is about 23122.1294002088. The cubic root of 534632868 is about 811.6184011841.

The spelling of 534632868 in words is "five hundred thirty-four million, six hundred thirty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 10151 13167 17556 20302 26334 30453 40604 52668 60906 71057 91359 111661 121812 142114 182718 192869 213171 223322 284228 334983 365436 385738 426342 446644 578607 639513 669966 771476 781627 852684 1004949 1157214 1279026 1339932 1350083 1563254 1735821 2009898 2121559 2314428 2344881 2558052 2700166 3126508 3471642 4019796 4050249 4243118 4689762 5400332 6364677 6943284 7034643 8100498 8486236 9379524 12150747 12729354 14069286 14850913 16200996 19094031 24301494 25458708 28138572 29701826 38188062 44552739 48602988 59403652 76376124 89105478 133658217 178210956 267316434 534632868