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7872252660 = 2232543734737
BaseRepresentation
bin1110101010011100…
…10000101011110100
3202022122000212111100
413111032100223310
5112110244041120
63341053410100
7366040020636
oct72516205364
922278025440
107872252660
11337a754a38
121638499930
13985c35a8c
14549732a56
153111b4490
hex1d5390af4

7872252660 has 36 divisors (see below), whose sum is σ = 23879166948. Its totient is φ = 2099267328.

The previous prime is 7872252637. The next prime is 7872252667. The reversal of 7872252660 is 662522787.

It can be written as a sum of positive squares in 2 ways, for example, as 4278729744 + 3593522916 = 65412^2 + 59946^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (7872252667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21867189 + ... + 21867548.

It is an arithmetic number, because the mean of its divisors is an integer number (663310193).

Almost surely, 27872252660 is an apocalyptic number.

It is an amenable number.

7872252660 is an abundant number, since it is smaller than the sum of its proper divisors (16006914288).

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

7872252660 is a wasteful number, since it uses less digits than its factorization.

7872252660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43734752 (or 43734747 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7872252660 is about 88725.7158889124. The cubic root of 7872252660 is about 1989.2972157041.

The spelling of 7872252660 in words is "seven billion, eight hundred seventy-two million, two hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 43734737 87469474 131204211 174938948 218673685 262408422 393612633 437347370 524816844 656021055 787225266 874694740 1312042110 1574450532 1968063165 2624084220 3936126330 7872252660