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531334144 = 21011431097
BaseRepresentation
bin11111101010111…
…000010000000000
31101000210120102101
4133222320100000
52042010143034
6124420200144
716111160065
oct3752702000
91330716371
10531334144
11252a19230
12129b39054
1386106403
14507d0c6c
15319a7514
hex1fab8400

531334144 has 88 divisors (see below), whose sum is σ = 1186735968. Its totient is φ = 235683840.

The previous prime is 531334127. The next prime is 531334147. The reversal of 531334144 is 441433135.

It is a tau number, because it is divible by the number of its divisors (88).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531334147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483804 + ... + 484900.

It is an arithmetic number, because the mean of its divisors is an integer number (13485636).

Almost surely, 2531334144 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 531334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593367984).

531334144 is an abundant number, since it is smaller than the sum of its proper divisors (655401824).

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

531334144 is a wasteful number, since it uses less digits than its factorization.

531334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1153 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 531334144 is about 23050.6864106039. The cubic root of 531334144 is about 809.9457078887.

Adding to 531334144 its reverse (441433135), we get a palindrome (972767279).

The spelling of 531334144 in words is "five hundred thirty-one million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 256 344 352 473 512 688 704 946 1024 1097 1376 1408 1892 2194 2752 2816 3784 4388 5504 5632 7568 8776 11008 11264 12067 15136 17552 22016 24134 30272 35104 44032 47171 48268 60544 70208 94342 96536 121088 140416 188684 193072 242176 280832 377368 386144 484352 518881 561664 754736 772288 1037762 1123328 1509472 1544576 2075524 3018944 3089152 4151048 6037888 6178304 8302096 12075776 12356608 16604192 24151552 33208384 48303104 66416768 132833536 265667072 531334144