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4528122120 = 2332512578117
BaseRepresentation
bin1000011011110010…
…11010100100001000
3102200120110102210200
410031321122210020
533233144401440
62025153212200
7220132255134
oct41571324410
912616412720
104528122120
111a14009195
12a64561060
13572171b02
1430d54a3c4
151b77e5c30
hex10de5a908

4528122120 has 48 divisors (see below), whose sum is σ = 14716398060. Its totient is φ = 1207499136.

The previous prime is 4528122103. The next prime is 4528122121. The reversal of 4528122120 is 212218254.

4528122120 is a `hidden beast` number, since 4 + 528 + 12 + 2 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4345710084 + 182412036 = 65922^2 + 13506^2 .

It is a super-3 number, since 3×45281221203 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4528122121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6288699 + ... + 6289418.

Almost surely, 24528122120 is an apocalyptic number.

4528122120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4528122120 is an abundant number, since it is smaller than the sum of its proper divisors (10188275940).

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

4528122120 is a wasteful number, since it uses less digits than its factorization.

4528122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12578134 (or 12578127 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4528122120 is about 67291.3227689871. The cubic root of 4528122120 is about 1654.3956403893.

The spelling of 4528122120 in words is "four billion, five hundred twenty-eight million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 12578117 25156234 37734351 50312468 62890585 75468702 100624936 113203053 125781170 150937404 188671755 226406106 251562340 301874808 377343510 452812212 503124680 566015265 754687020 905624424 1132030530 1509374040 2264061060 4528122120