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448642680 = 233515432423
BaseRepresentation
bin11010101111011…
…011111001111000
31011021012102001120
4122233123321320
51404323031210
6112303545240
714055254103
oct3257337170
91137172046
10448642680
11210279982
121062bb220
1371c42c55
144382773a
15295c1270
hex1abdbe78

448642680 has 64 divisors (see below), whose sum is σ = 1347356160. Its totient is φ = 119511168.

The previous prime is 448642651. The next prime is 448642717. The reversal of 448642680 is 86246844.

448642680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183949 + ... + 186371.

It is an arithmetic number, because the mean of its divisors is an integer number (21052440).

Almost surely, 2448642680 is an apocalyptic number.

448642680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448642680 is an abundant number, since it is smaller than the sum of its proper divisors (898713480).

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

448642680 is a wasteful number, since it uses less digits than its factorization.

448642680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 448642680 is about 21181.1869355804. The cubic root of 448642680 is about 765.5381919183.

The spelling of 448642680 in words is "four hundred forty-eight million, six hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1543 2423 3086 4629 4846 6172 7269 7715 9258 9692 12115 12344 14538 15430 18516 19384 23145 24230 29076 30860 36345 37032 46290 48460 58152 61720 72690 92580 96920 145380 185160 290760 3738689 7477378 11216067 14954756 18693445 22432134 29909512 37386890 44864268 56080335 74773780 89728536 112160670 149547560 224321340 448642680