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534005766 = 2327231031789
BaseRepresentation
bin11111110101000…
…100100000000110
31101012211022012100
4133311010200012
52043201141031
6124553332530
716142655060
oct3765044006
91335738170
10534005766
11254483488
1212aa07146
1386830458
1450cc8730
1531d33de6
hex1fd44806

534005766 has 96 divisors (see below), whose sum is σ = 1393966080. Its totient is φ = 144441792.

The previous prime is 534005753. The next prime is 534005779. The reversal of 534005766 is 667500435.

It is an interprime number because it is at equal distance from previous prime (534005753) and next prime (534005779).

It is a self number, because there is not a number n which added to its sum of digits gives 534005766.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 297600 + ... + 299388.

It is an arithmetic number, because the mean of its divisors is an integer number (14520480).

Almost surely, 2534005766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534005766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696983040).

534005766 is an abundant number, since it is smaller than the sum of its proper divisors (859960314).

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

534005766 is a wasteful number, since it uses less digits than its factorization.

534005766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 534005766 is about 23108.5647758575. The cubic root of 534005766 is about 811.3009455480.

The spelling of 534005766 in words is "five hundred thirty-four million, five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 103 126 138 161 206 207 309 322 414 483 618 721 927 966 1442 1449 1789 1854 2163 2369 2898 3578 4326 4738 5367 6489 7107 10734 12523 12978 14214 16101 16583 21321 25046 32202 33166 37569 41147 42642 49749 75138 82294 99498 112707 123441 149247 184267 225414 246882 288029 298494 368534 370323 552801 576058 740646 864087 1105602 1289869 1658403 1728174 2579738 2592261 3316806 3869607 4238141 5184522 7739214 8476282 11608821 12714423 23217642 25428846 29666987 38143269 59333974 76286538 89000961 178001922 267002883 534005766