Search a number
-
+
538149528 = 233371572267
BaseRepresentation
bin100000000100111…
…000001010011000
31101111121211101000
4200010320022120
52100231241103
6125222225000
716223124030
oct4004701230
91344554330
10538149528
11256853784
12130285160
1387651597
14516868c0
15323a1aa3
hex20138298

538149528 has 128 divisors (see below), whose sum is σ = 1720051200. Its totient is φ = 152710272.

The previous prime is 538149527. The next prime is 538149529. The reversal of 538149528 is 825941835.

538149528 is a `hidden beast` number, since 5 + 3 + 81 + 49 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (538149527) and next prime (538149529).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538149523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236251 + ... + 238517.

It is an arithmetic number, because the mean of its divisors is an integer number (13437900).

Almost surely, 2538149528 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 538149528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860025600).

538149528 is an abundant number, since it is smaller than the sum of its proper divisors (1181901672).

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

538149528 is a wasteful number, since it uses less digits than its factorization.

538149528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2436 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 538149528 is about 23198.0500904710. The cubic root of 538149528 is about 813.3940438124.

The spelling of 538149528 in words is "five hundred thirty-eight million, one hundred forty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 157 168 189 216 252 314 378 471 504 628 756 942 1099 1256 1413 1512 1884 2198 2267 2826 3297 3768 4239 4396 4534 5652 6594 6801 8478 8792 9068 9891 11304 13188 13602 15869 16956 18136 19782 20403 26376 27204 29673 31738 33912 39564 40806 47607 54408 59346 61209 63476 79128 81612 95214 118692 122418 126952 142821 163224 190428 237384 244836 285642 355919 380856 428463 489672 571284 711838 856926 1067757 1142568 1423676 1713852 2135514 2491433 2847352 3203271 3427704 4271028 4982866 6406542 7474299 8542056 9609813 9965732 12813084 14948598 19219626 19931464 22422897 25626168 29897196 38439252 44845794 59794392 67268691 76878504 89691588 134537382 179383176 269074764 538149528