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535506426 = 2327131719231
BaseRepresentation
bin11111111010110…
…010110111111010
31101022122112201100
4133322302313322
52044042201201
6125045432230
716161505140
oct3772626772
91338575640
10535506426
112553089a4
1212b40b676
1386c37510
1451199590
153202d886
hex1feb2dfa

535506426 has 96 divisors (see below), whose sum is σ = 1512096768. Its totient is φ = 132917760.

The previous prime is 535506421. The next prime is 535506437. The reversal of 535506426 is 624605535.

It is a happy number.

535506426 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 0 + 642 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (535506421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18231 + ... + 37461.

It is an arithmetic number, because the mean of its divisors is an integer number (15751008).

Almost surely, 2535506426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535506426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756048384).

535506426 is an abundant number, since it is smaller than the sum of its proper divisors (976590342).

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

535506426 is a wasteful number, since it uses less digits than its factorization.

535506426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19276 (or 19273 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 535506426 is about 23141.0117756333. The cubic root of 535506426 is about 812.0602058864.

The spelling of 535506426 in words is "five hundred thirty-five million, five hundred six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 306 357 442 546 663 714 819 1071 1326 1547 1638 1989 2142 3094 3978 4641 9282 13923 19231 27846 38462 57693 115386 134617 173079 250003 269234 326927 346158 403851 500006 653854 750009 807702 980781 1211553 1500018 1750021 1961562 2250027 2288489 2423106 2942343 3500042 4250051 4500054 4576978 5250063 5884686 6865467 8500102 10500126 12750153 13730934 15750189 20596401 25500306 29750357 31500378 38250459 41192802 59500714 76500918 89251071 178502142 267753213 535506426