Search a number
-
+
5241631626 = 2327211599157
BaseRepresentation
bin1001110000110110…
…01111001110001010
3111112022001110211200
410320123033032022
541213324203001
62224042205030
7243615063600
oct47033171612
914468043750
105241631626
11224a845470
1210234b3776
13656c3129a
1437a1dd870
1520a286086
hex1386cf38a

5241631626 has 144 divisors (see below), whose sum is σ = 14657928480. Its totient is φ = 1338240960.

The previous prime is 5241631601. The next prime is 5241631627. The reversal of 5241631626 is 6261361425.

5241631626 is a `hidden beast` number, since 5 + 24 + 1 + 6 + 3 + 1 + 626 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5241631627) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 567840 + ... + 576996.

It is an arithmetic number, because the mean of its divisors is an integer number (101791170).

Almost surely, 25241631626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5241631626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328964240).

5241631626 is an abundant number, since it is smaller than the sum of its proper divisors (9416296854).

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

5241631626 is a wasteful number, since it uses less digits than its factorization.

5241631626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249 (or 9239 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5241631626 is about 72399.1134337983. The cubic root of 5241631626 is about 1737.0893808477.

The spelling of 5241631626 in words is "five billion, two hundred forty-one million, six hundred thirty-one thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 59 63 66 77 98 99 118 126 147 154 177 198 231 294 354 413 441 462 531 539 649 693 826 882 1062 1078 1239 1298 1386 1617 1947 2478 2891 3234 3717 3894 4543 4851 5782 5841 7434 8673 9086 9157 9702 11682 13629 17346 18314 26019 27258 27471 31801 40887 52038 54942 63602 64099 81774 82413 95403 100727 128198 164826 190806 192297 201454 286209 302181 384594 448693 540263 572418 576891 604362 705089 897386 906543 1080526 1153782 1346079 1410178 1620789 1813086 2115267 2692158 3241578 3781841 4038237 4230534 4862367 4935623 5942893 6345801 7563682 8076474 9724734 9871246 11345523 11885786 12691602 14806869 17828679 22691046 26472887 29613738 34036569 35657358 41600251 44420607 52945774 53486037 68073138 79418661 83200502 88841214 106972074 124800753 158837322 238255983 249601506 291201757 374402259 476511966 582403514 748804518 873605271 1747210542 2620815813 5241631626