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2780825 = 52412713
BaseRepresentation
bin1010100110111010011001
312020021120112
422212322121
51202441300
6135334105
732431235
oct12467231
95207515
102780825
11162a303
12b21335
13764978
145255c5
1539de35
hex2a6e99

2780825 has 12 divisors (see below), whose sum is σ = 3533628. Its totient is φ = 2169600.

The previous prime is 2780801. The next prime is 2780831. The reversal of 2780825 is 5280872.

It can be written as a sum of positive squares in 6 ways, for example, as 21904 + 2758921 = 148^2 + 1661^2 .

It is not a de Polignac number, because 2780825 - 26 = 2780761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2780791 and 2780800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332 + ... + 2381.

It is an arithmetic number, because the mean of its divisors is an integer number (294469).

22780825 is an apocalyptic number.

2780825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2780825 is a deficient number, since it is larger than the sum of its proper divisors (752803).

2780825 is a wasteful number, since it uses less digits than its factorization.

2780825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 2780825 is about 1667.5805827605. The cubic root of 2780825 is about 140.6234946341.

The spelling of 2780825 in words is "two million, seven hundred eighty thousand, eight hundred twenty-five".

Divisors: 1 5 25 41 205 1025 2713 13565 67825 111233 556165 2780825