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4528103040 = 273353179107
BaseRepresentation
bin1000011011110010…
…10101111010000000
3102200120102110122000
410031321111322000
533233143244130
62025152544000
7220132145406
oct41571257200
912616373560
104528103040
111a13aa591a
12a64552000
13572166216
1430d543476
151b77e0260
hex10de55e80

4528103040 has 512 divisors, whose sum is σ = 16920576000. Its totient is φ = 1142968320.

The previous prime is 4528102979. The next prime is 4528103053. The reversal of 4528103040 is 403018254.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4528102995 and 4528103013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42318667 + ... + 42318773.

It is an arithmetic number, because the mean of its divisors is an integer number (33048000).

Almost surely, 24528103040 is an apocalyptic number.

4528103040 is a gapful number since it is divisible by the number (40) 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 4528103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460288000).

4528103040 is an abundant number, since it is smaller than the sum of its proper divisors (12392472960).

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

4528103040 is a wasteful number, since it uses less digits than its factorization.

4528103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4528103040 is about 67291.1809972154. The cubic root of 4528103040 is about 1654.3933166951.

The spelling of 4528103040 in words is "four billion, five hundred twenty-eight million, one hundred three thousand, forty".