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2448806940 = 2232525515333
BaseRepresentation
bin1001000111110101…
…1101010000011100
320022122212021121100
42101331131100130
520003343310230
61042554233100
7114453341556
oct22175352034
96278767540
102448806940
111047318998
12584125790
13300446cb8
141933264d6
15e4eb7660
hex91f5d41c

2448806940 has 72 divisors (see below), whose sum is σ = 7432352928. Its totient is φ = 652636800.

The previous prime is 2448806929. The next prime is 2448806947. The reversal of 2448806940 is 496088442.

2448806940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2448806947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456514 + ... + 461846.

It is an arithmetic number, because the mean of its divisors is an integer number (103227124).

Almost surely, 22448806940 is an apocalyptic number.

2448806940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2448806940 is an abundant number, since it is smaller than the sum of its proper divisors (4983545988).

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

2448806940 is a wasteful number, since it uses less digits than its factorization.

2448806940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2448806940 is about 49485.4214895660. The cubic root of 2448806940 is about 1347.8808893397.

The spelling of 2448806940 in words is "two billion, four hundred forty-eight million, eight hundred six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2551 5102 5333 7653 10204 10666 12755 15306 15999 21332 22959 25510 26665 30612 31998 38265 45918 47997 51020 53330 63996 76530 79995 91836 95994 106660 114795 153060 159990 191988 229590 239985 319980 459180 479970 959940 13604483 27208966 40813449 54417932 68022415 81626898 122440347 136044830 163253796 204067245 244880694 272089660 408134490 489761388 612201735 816268980 1224403470 2448806940