Search a number
-
+
533642868 = 22321110391297
BaseRepresentation
bin11111110011101…
…011111001110100
31101012010212101200
4133303223321310
52043103032433
6124541452500
716136614053
oct3763537164
91335125350
10533642868
11254255870
1212a871130
1386734215
1450c3239a
1531cb1613
hex1fcebe74

533642868 has 72 divisors (see below), whose sum is σ = 1474112640. Its totient is φ = 161429760.

The previous prime is 533642831. The next prime is 533642899. The reversal of 533642868 is 868246335.

It is a happy number.

533642868 is a `hidden beast` number, since 5 + 3 + 364 + 286 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410796 + ... + 412092.

Almost surely, 2533642868 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 533642868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737056320).

533642868 is an abundant number, since it is smaller than the sum of its proper divisors (940469772).

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

533642868 is a wasteful number, since it uses less digits than its factorization.

533642868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2352 counting only the distinct ones).

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

The square root of 533642868 is about 23100.7114176166. The cubic root of 533642868 is about 811.1171234321.

The spelling of 533642868 in words is "five hundred thirty-three million, six hundred forty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1039 1297 2078 2594 3117 3891 4156 5188 6234 7782 9351 11429 11673 12468 14267 15564 18702 22858 23346 28534 34287 37404 42801 45716 46692 57068 68574 85602 102861 128403 137148 171204 205722 256806 411444 513612 1347583 2695166 4042749 5390332 8085498 12128247 14823413 16170996 24256494 29646826 44470239 48512988 59293652 88940478 133410717 177880956 266821434 533642868