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5133528 = 2332374147
BaseRepresentation
bin10011100101010011011000
3100122210212200
4103211103120
52303233103
6302010200
761430361
oct23452330
910583780
105133528
112996994
121876960
1310a97ba
14978b68
156b60a3
hex4e54d8

5133528 has 96 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1589760.

The previous prime is 5133523. The next prime is 5133529. The reversal of 5133528 is 8253315.

5133528 is a `hidden beast` number, since 5 + 133 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109201 + ... + 109247.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 25133528 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 5133528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

5133528 is an abundant number, since it is smaller than the sum of its proper divisors (9805032).

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

5133528 is a wasteful number, since it uses less digits than its factorization.

5133528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5133528 is about 2265.7290217500. The cubic root of 5133528 is about 172.5064395832.

The spelling of 5133528 in words is "five million, one hundred thirty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 41 47 72 74 82 94 111 123 141 148 164 188 222 246 282 296 328 333 369 376 423 444 492 564 666 738 846 888 984 1128 1332 1476 1517 1692 1739 1927 2664 2952 3034 3384 3478 3854 4551 5217 5781 6068 6956 7708 9102 10434 11562 12136 13653 13912 15416 15651 17343 18204 20868 23124 27306 31302 34686 36408 41736 46248 54612 62604 69372 71299 109224 125208 138744 142598 213897 285196 427794 570392 641691 855588 1283382 1711176 2566764 5133528