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536566338 = 2327111013833
BaseRepresentation
bin11111111110110…
…101101001000010
31101101122101122100
4133332311221002
52044330110323
6125124251230
716203511230
oct3776655102
91341571570
10536566338
11255972260
1212b840b16
1387218a99
1451393950
153218c943
hex1ffb5a42

536566338 has 96 divisors (see below), whose sum is σ = 1464158592. Its totient is φ = 137952000.

The previous prime is 536566319. The next prime is 536566397. The reversal of 536566338 is 833665635.

536566338 is a `hidden beast` number, since 5 + 3 + 6 + 5 + 6 + 633 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 536566293 and 536566302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138070 + ... + 141902.

It is an arithmetic number, because the mean of its divisors is an integer number (15251652).

Almost surely, 2536566338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536566338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732079296).

536566338 is an abundant number, since it is smaller than the sum of its proper divisors (927592254).

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

536566338 is a wasteful number, since it uses less digits than its factorization.

536566338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3957 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 536566338 is about 23163.9016143654. The cubic root of 536566338 is about 812.5956150355.

The spelling of 536566338 in words is "five hundred thirty-six million, five hundred sixty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 101 126 154 198 202 231 303 462 606 693 707 909 1111 1386 1414 1818 2121 2222 3333 3833 4242 6363 6666 7666 7777 9999 11499 12726 15554 19998 22998 23331 26831 34497 42163 46662 53662 68994 69993 80493 84326 126489 139986 160986 241479 252978 295141 379467 387133 482958 590282 758934 774266 885423 1161399 1770846 2322798 2656269 2709931 3484197 4258463 5312538 5419862 6968394 8129793 8516926 12775389 16259586 24389379 25550778 29809241 38326167 48778758 59618482 76652334 89427723 178855446 268283169 536566338