Search a number
-
+
533231248 = 241117315749
BaseRepresentation
bin11111110010000…
…111011010010000
31101011100221202111
4133302013122100
52043001344443
6124524555104
716133251024
oct3762073220
91334327674
10533231248
11253aa4590
1212a6b2a94
138661ba64
1450b66384
1531c2e69d
hex1fc87690

533231248 has 80 divisors (see below), whose sum is σ = 1232064000. Its totient is φ = 220723200.

The previous prime is 533231243. The next prime is 533231269. The reversal of 533231248 is 842132335.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (533231243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89878 + ... + 95626.

It is an arithmetic number, because the mean of its divisors is an integer number (15400800).

Almost surely, 2533231248 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 533231248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616032000).

533231248 is an abundant number, since it is smaller than the sum of its proper divisors (698832752).

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

533231248 is a wasteful number, since it uses less digits than its factorization.

533231248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816 (or 5810 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 533231248 is about 23091.8004495102. The cubic root of 533231248 is about 810.9085208066.

The spelling of 533231248 in words is "five hundred thirty-three million, two hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 62 68 88 124 136 176 187 248 272 341 374 496 527 682 748 1054 1364 1496 2108 2728 2992 4216 5456 5749 5797 8432 11498 11594 22996 23188 45992 46376 63239 91984 92752 97733 126478 178219 195466 252956 356438 390932 505912 712876 781864 1011824 1075063 1425752 1563728 1960409 2150126 2851504 3029723 3920818 4300252 6059446 7841636 8600504 12118892 15683272 17201008 24237784 31366544 33326953 48475568 66653906 133307812 266615624 533231248