Search a number
-
+
31828041252 = 22327277617739
BaseRepresentation
bin11101101001000110…
…010101111000100100
310001011011002000112200
4131221012111320210
51010140434310002
622342133214500
72204504613120
oct355106257044
9101134060480
1031828041252
1112553110527
126203191430
133003022707
14177d140580
15c64370b1c
hex769195e24

31828041252 has 144 divisors (see below), whose sum is σ = 92554250880. Its totient is φ = 9033970176.

The previous prime is 31828041251. The next prime is 31828041281. The reversal of 31828041252 is 25214082813.

It is a happy number.

31828041252 is a `hidden beast` number, since 318 + 280 + 4 + 12 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31828041251) 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 47 ways as a sum of consecutive naturals, for example, 43068699 + ... + 43069437.

Almost surely, 231828041252 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 31828041252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46277125440).

31828041252 is an abundant number, since it is smaller than the sum of its proper divisors (60726209628).

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

31828041252 is a wasteful number, since it uses less digits than its factorization.

31828041252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 31828041252 in words is "thirty-one billion, eight hundred twenty-eight million, forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 277 554 617 739 831 1108 1234 1478 1662 1851 1939 2217 2468 2493 2956 3324 3702 3878 4319 4434 4986 5173 5553 5817 6651 7404 7756 8638 8868 9972 10346 11106 11634 12957 13302 15519 17276 17451 20692 22212 23268 25914 26604 31038 34902 38871 46557 51828 62076 69804 77742 93114 155484 170909 186228 204703 341818 409406 455963 512727 614109 683636 818812 911926 1025454 1196363 1228218 1367889 1432921 1538181 1823852 1842327 2050908 2392726 2456436 2735778 2865842 3076362 3191741 3589089 3684654 4103667 4298763 4785452 5471556 5731684 6152724 6383482 7178178 7369308 8207334 8597526 9575223 10767267 12766964 12896289 14356356 16414668 17195052 19150446 21534534 25792578 28725669 38300892 43069068 51585156 57451338 114902676 126301751 252603502 378905253 505207004 757810506 884112257 1136715759 1515621012 1768224514 2273431518 2652336771 3536449028 4546863036 5304673542 7957010313 10609347084 15914020626 31828041252