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2983797 = 364093
BaseRepresentation
bin1011011000011101110101
312121121000000
423120131311
51230440142
6143541513
734235055
oct13303565
95547000
102983797
111758853
12bba899
1380617b
14579565
153de14c
hex2d8775

2983797 has 14 divisors (see below), whose sum is σ = 4474742. Its totient is φ = 1988712.

The previous prime is 2983793. The next prime is 2983801. The reversal of 2983797 is 7973892.

It is an interprime number because it is at equal distance from previous prime (2983793) and next prime (2983801).

It can be written as a sum of positive squares in only one way, i.e., 2452356 + 531441 = 1566^2 + 729^2 .

It is not a de Polignac number, because 2983797 - 22 = 2983793 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2983793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1318 + ... + 2775.

22983797 is an apocalyptic number.

2983797 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2983797 is a deficient number, since it is larger than the sum of its proper divisors (1490945).

2983797 is an frugal number, since it uses more digits than its factorization.

2983797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4096 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 2983797 is about 1727.3670715861. The cubic root of 2983797 is about 143.9648351634.

It can be divided in two parts, 298 and 3797, that added together give a triangular number (4095 = T90).

The spelling of 2983797 in words is "two million, nine hundred eighty-three thousand, seven hundred ninety-seven".

Divisors: 1 3 9 27 81 243 729 4093 12279 36837 110511 331533 994599 2983797