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2859040900 = 225253472
BaseRepresentation
bin1010101001101001…
…1000000010000100
321101020210022210201
42222122120002010
521323403302100
61151411100244
7130564306132
oct25232300204
97336708721
102859040900
111237943821
126795a1684
1336742c7a1
141d19d2752
1511aeed36a
hexaa698084

2859040900 has 27 divisors (see below), whose sum is σ = 6205279269. Its totient is φ = 1143402480.

The previous prime is 2859040871. The next prime is 2859040907. The reversal of 2859040900 is 90409582.

The square root of 2859040900 is 53470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1029254724 + 1829786176 = 32082^2 + 42776^2 .

It is a super-2 number, since 2×28590409002 = 16348229735745620000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2859040900.

It is not an unprimeable number, because it can be changed into a prime (2859040907) 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 8 ways as a sum of consecutive naturals, for example, 532027 + ... + 537373.

Almost surely, 22859040900 is an apocalyptic number.

2859040900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2859040900 is the 53470-th square number.

It is an amenable number.

2859040900 is an abundant number, since it is smaller than the sum of its proper divisors (3346238369).

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

2859040900 is an frugal number, since it uses more digits than its factorization.

2859040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10708 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The cubic root of 2859040900 is about 1419.2975597381.

The spelling of 2859040900 in words is "two billion, eight hundred fifty-nine million, forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5347 10694 21388 26735 53470 106940 133675 267350 534700 28590409 57180818 114361636 142952045 285904090 571808180 714760225 1429520450 2859040900