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2445984112 = 2411131397691
BaseRepresentation
bin1001000111001010…
…1100000101110000
320022110112212102011
42101302230011300
520002132442422
61042413532304
7114420344005
oct22162540560
96273485364
102445984112
111045770080
125831a4094
132cc9991a0
14192bcd8ac
15e4b0b077
hex91cac170

2445984112 has 80 divisors (see below), whose sum is σ = 5608391040. Its totient is φ = 1018771200.

The previous prime is 2445984097. The next prime is 2445984137. The reversal of 2445984112 is 2114895442.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 314187 + ... + 321877.

It is an arithmetic number, because the mean of its divisors is an integer number (70104888).

Almost surely, 22445984112 is an apocalyptic number.

2445984112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2445984112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804195520).

2445984112 is an abundant number, since it is smaller than the sum of its proper divisors (3162406928).

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

2445984112 is a wasteful number, since it uses less digits than its factorization.

2445984112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862 (or 7856 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 2445984112 is about 49456.8914510405. The cubic root of 2445984112 is about 1347.3627732481.

It can be divided in two parts, 2445984 and 112, that added together give a square (2446096 = 15642).

The spelling of 2445984112 in words is "two billion, four hundred forty-five million, nine hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 139 143 176 208 278 286 556 572 1112 1144 1529 1807 2224 2288 3058 3614 6116 7228 7691 12232 14456 15382 19877 24464 28912 30764 39754 61528 79508 84601 99983 123056 159016 169202 199966 318032 338404 399932 676808 799864 1069049 1099813 1353616 1599728 2138098 2199626 4276196 4399252 8552392 8798504 11759539 13897637 17104784 17597008 23519078 27795274 47038156 55590548 94076312 111181096 152874007 188152624 222362192 305748014 611496028 1222992056 2445984112