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541131528 = 233710730103
BaseRepresentation
bin100000010000010…
…000001100001000
31101201020022220110
4200100100030020
52102012202103
6125410154320
716260353640
oct4020201410
91351208813
10541131528
11258500143
121312829a0
1388156992
1451c21520
1532790403
hex20410308

541131528 has 64 divisors (see below), whose sum is σ = 1560591360. Its totient is φ = 153158976.

The previous prime is 541131517. The next prime is 541131529. The reversal of 541131528 is 825131145.

It is a super-2 number, since 2×5411315282 = 585646661191229568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 541131495 and 541131504.

It is not an unprimeable number, because it can be changed into a prime (541131529) 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, 2925 + ... + 33027.

It is an arithmetic number, because the mean of its divisors is an integer number (24384240).

Almost surely, 2541131528 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 541131528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780295680).

541131528 is an abundant number, since it is smaller than the sum of its proper divisors (1019459832).

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

541131528 is a wasteful number, since it uses less digits than its factorization.

541131528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30226 (or 30222 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 541131528 is about 23262.2339425946. The cubic root of 541131528 is about 814.8936732581.

The spelling of 541131528 in words is "five hundred forty-one million, one hundred thirty-one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 2247 2568 2996 4494 5992 8988 17976 30103 60206 90309 120412 180618 210721 240824 361236 421442 632163 722472 842884 1264326 1685768 2528652 3221021 5057304 6442042 9663063 12884084 19326126 22547147 25768168 38652252 45094294 67641441 77304504 90188588 135282882 180377176 270565764 541131528