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2852750400 = 26352619743
BaseRepresentation
bin1010101000001001…
…1000010001000000
321100210221201212020
42222002120101000
521320301003100
61151024201440
7130456656363
oct25202302100
97323851766
102852750400
111234337665
12677469280
133660394b6
141d0c360da
1511a6a95a0
hexaa098440

2852750400 has 168 divisors, whose sum is σ = 9513807744. Its totient is φ = 748185600.

The previous prime is 2852750377. The next prime is 2852750401. The reversal of 2852750400 is 40572582.

It is not an unprimeable number, because it can be changed into a prime (2852750401) 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, 287929 + ... + 297671.

It is an arithmetic number, because the mean of its divisors is an integer number (56629808).

Almost surely, 22852750400 is an apocalyptic number.

2852750400 is a gapful number since it is divisible by the number (20) 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 2852750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756903872).

2852750400 is an abundant number, since it is smaller than the sum of its proper divisors (6661057344).

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

2852750400 is a wasteful number, since it uses less digits than its factorization.

2852750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 2852750400 is about 53411.1449044111. The cubic root of 2852750400 is about 1418.2558762354.

It can be divided in two parts, 285 and 2750400, that added together give a triangular number (2750685 = T2345).

The spelling of 2852750400 in words is "two billion, eight hundred fifty-two million, seven hundred fifty thousand, four hundred".