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535838268 = 223723535233
BaseRepresentation
bin11111111100000…
…011111000111100
31101100021101220210
4133330003320330
52044133311033
6125100512420
716164356460
oct3774037074
91340241823
10535838268
11255515249
1212b54b710
1387022584
14512444a0
1532096d63
hex1ff03e3c

535838268 has 96 divisors (see below), whose sum is σ = 1519451136. Its totient is φ = 143649792.

The previous prime is 535838201. The next prime is 535838269. The reversal of 535838268 is 862838535.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535838269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99780 + ... + 105012.

It is an arithmetic number, because the mean of its divisors is an integer number (15827616).

Almost surely, 2535838268 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 535838268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759725568).

535838268 is an abundant number, since it is smaller than the sum of its proper divisors (983612868).

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

535838268 is a wasteful number, since it uses less digits than its factorization.

535838268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5321 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 535838268 is about 23148.1806628512. The cubic root of 535838268 is about 812.2279100919.

The spelling of 535838268 in words is "five hundred thirty-five million, eight hundred thirty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 53 69 84 92 106 138 159 161 212 276 318 322 371 483 636 644 742 966 1113 1219 1484 1932 2226 2438 3657 4452 4876 5233 7314 8533 10466 14628 15699 17066 20932 25599 31398 34132 36631 51198 62796 73262 102396 109893 120359 146524 219786 240718 277349 361077 439572 481436 554698 722154 832047 842513 1109396 1444308 1664094 1685026 1941443 2527539 3328188 3370052 3882886 5055078 5824329 6379027 7765772 10110156 11648658 12758054 19137081 23297316 25516108 38274162 44653189 76548324 89306378 133959567 178612756 267919134 535838268