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2890625 = 5737
BaseRepresentation
bin1011000001101110000001
312102212012012
423001232001
51220000000
6141542305
733366323
oct13015601
95385165
102890625
1116a4851
12b74995
137a293a
14553613
153c1735
hex2c1b81

2890625 has 16 divisors (see below), whose sum is σ = 3710928. Its totient is φ = 2250000.

The previous prime is 2890619. The next prime is 2890627. The reversal of 2890625 is 5260982.

It can be written as a sum of positive squares in 8 ways, for example, as 2686321 + 204304 = 1639^2 + 452^2 .

It is an automorphic number since its square, 8355712890625, ends in 2890625.

It is a trimorphic number since its cube, 24153232574462890625, ends in 2890625.

It is not a de Polignac number, because 2890625 - 28 = 2890369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2890591 and 2890600.

It is not an unprimeable number, because it can be changed into a prime (2890627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78107 + ... + 78143.

It is an arithmetic number, because the mean of its divisors is an integer number (231933).

22890625 is an apocalyptic number.

2890625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2890625 is a deficient number, since it is larger than the sum of its proper divisors (820303).

2890625 is an frugal number, since it uses more digits than its factorization.

2890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2890625 is about 1700.1838135919. The cubic root of 2890625 is about 142.4504803826.

The spelling of 2890625 in words is "two million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 37 125 185 625 925 3125 4625 15625 23125 78125 115625 578125 2890625