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2482112836 = 227231607673
BaseRepresentation
bin1001001111110010…
…0000100101000100
320101222112101201001
42103330200211010
520040410102321
61050144143044
7115336416400
oct22374404504
96358471631
102482112836
1110640a7125
12593307a84
13307308928
14197916100
15e7d95c91
hex93f20944

2482112836 has 72 divisors (see below), whose sum is σ = 5232224256. Its totient is φ = 1026224640.

The previous prime is 2482112833. The next prime is 2482112851. The reversal of 2482112836 is 6382112842.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2482112795 and 2482112804.

It is not an unprimeable number, because it can be changed into a prime (2482112833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3687796 + ... + 3688468.

Almost surely, 22482112836 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 2482112836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616112128).

2482112836 is an abundant number, since it is smaller than the sum of its proper divisors (2750111420).

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

2482112836 is a wasteful number, since it uses less digits than its factorization.

2482112836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1320 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 2482112836 is about 49820.8072596179. The cubic root of 2482112836 is about 1353.9641754407.

The spelling of 2482112836 in words is "two billion, four hundred eighty-two million, one hundred twelve thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 607 673 868 1214 1346 1519 2428 2692 3038 4249 4711 6076 8498 9422 16996 18817 18844 20863 29743 32977 37634 41726 59486 65954 75268 83452 118972 131719 131908 146041 263438 292082 408511 526876 584164 817022 922033 1022287 1634044 1844066 2044574 2859577 3688132 4089148 5719154 11438308 12663841 20017039 25327682 40034078 50655364 80068156 88646887 177293774 354587548 620528209 1241056418 2482112836