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533144052 = 223371494733
BaseRepresentation
bin11111110001110…
…010000111110100
31101011012112011000
4133301302013310
52042441102202
6124523043300
716132435560
oct3761620764
91334175130
10533144052
11253a45021
1212a670530
13865bb16c
1450b426a0
1531c1391c
hex1fc721f4

533144052 has 96 divisors (see below), whose sum is σ = 1590624000. Its totient is φ = 151272576.

The previous prime is 533144011. The next prime is 533144069. The reversal of 533144052 is 250441335.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110278 + ... + 115010.

It is an arithmetic number, because the mean of its divisors is an integer number (16569000).

Almost surely, 2533144052 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 533144052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795312000).

533144052 is an abundant number, since it is smaller than the sum of its proper divisors (1057479948).

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

533144052 is a wasteful number, since it uses less digits than its factorization.

533144052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 533144052 is about 23089.9123428392. The cubic root of 533144052 is about 810.8643174495.

Adding to 533144052 its reverse (250441335), we get a palindrome (783585387).

The spelling of 533144052 in words is "five hundred thirty-three million, one hundred forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 149 189 252 298 378 447 596 756 894 1043 1341 1788 2086 2682 3129 4023 4172 4733 5364 6258 8046 9387 9466 12516 14199 16092 18774 18932 28161 28398 33131 37548 42597 56322 56796 66262 85194 99393 112644 127791 132524 170388 198786 255582 298179 397572 511164 596358 705217 894537 1192716 1410434 1789074 2115651 2820868 3578148 4231302 4936519 6346953 8462604 9873038 12693906 14809557 19040859 19746076 25387812 29619114 38081718 44428671 59238228 76163436 88857342 133286013 177714684 266572026 533144052