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2445015040 = 21151318367
BaseRepresentation
bin1001000110111011…
…1111100000000000
320022101201122002121
42101232333200000
520001410440130
61042341054024
7114406166506
oct22156774000
96271648077
102445015040
111045168a96
125829b7314
132cc71a080
14192a1a676
15e49b8d7a
hex91bbf800

2445015040 has 96 divisors (see below), whose sum is σ = 6318224640. Its totient is φ = 902725632.

The previous prime is 2445015029. The next prime is 2445015073. The reversal of 2445015040 is 405105442.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2445014996 and 2445015014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123937 + ... + 142303.

It is an arithmetic number, because the mean of its divisors is an integer number (65814840).

Almost surely, 22445015040 is an apocalyptic number.

2445015040 is a gapful number since it is divisible by the number (20) 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 2445015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159112320).

2445015040 is an abundant number, since it is smaller than the sum of its proper divisors (3873209600).

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

2445015040 is a wasteful number, since it uses less digits than its factorization.

2445015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18407 (or 18387 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2445015040 is about 49447.0933422785. The cubic root of 2445015040 is about 1347.1848129740.

The spelling of 2445015040 in words is "two billion, four hundred forty-five million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4160 5120 6656 8320 10240 13312 16640 18367 26624 33280 36734 66560 73468 91835 133120 146936 183670 238771 293872 367340 477542 587744 734680 955084 1175488 1193855 1469360 1910168 2350976 2387710 2938720 3820336 4701952 4775420 5877440 7640672 9403904 9550840 11754880 15281344 18807808 19101680 23509760 30562688 37615616 38203360 47019520 61125376 76406720 94039040 122250752 152813440 188078080 244501504 305626880 489003008 611253760 1222507520 2445015040