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4061008900 = 2252133123853
BaseRepresentation
bin1111001000001110…
…0001010000000100
3101111000111121221001
43302003201100010
531304104241100
61510545303044
7202431002044
oct36203412004
911430447831
104061008900
1117a4374103
12954034a84
134c9462960
142a74b5724
1518b7c6d6a
hexf20e1404

4061008900 has 36 divisors (see below), whose sum is σ = 9490268452. Its totient is φ = 1499448960.

The previous prime is 4061008873. The next prime is 4061008901. The reversal of 4061008900 is 98001604.

It can be written as a sum of positive squares in 6 ways, for example, as 616727556 + 3444281344 = 24834^2 + 58688^2 .

It is not an unprimeable number, because it can be changed into a prime (4061008901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1560627 + ... + 1563226.

Almost surely, 24061008900 is an apocalyptic number.

It is an amenable number.

4061008900 is an abundant number, since it is smaller than the sum of its proper divisors (5429259552).

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

4061008900 is a wasteful number, since it uses less digits than its factorization.

4061008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123880 (or 3123873 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 4061008900 is about 63726.0456956181. The cubic root of 4061008900 is about 1595.4308312942.

The spelling of 4061008900 in words is "four billion, sixty-one million, eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 3123853 6247706 12495412 15619265 31238530 40610089 62477060 78096325 81220178 156192650 162440356 203050445 312385300 406100890 812201780 1015252225 2030504450 4061008900