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2981601 = 32726761
BaseRepresentation
bin1011010111111011100001
312121110222200
423113323201
51230402401
6143523413
734225500
oct13277341
95543880
102981601
111757137
12bb9569
1380517c
14578837
153dd686
hex2d7ee1

2981601 has 18 divisors (see below), whose sum is σ = 5010642. Its totient is φ = 1703520.

The previous prime is 2981597. The next prime is 2981653. The reversal of 2981601 is 1061892.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 159201 = 1680^2 + 399^2 .

It is not a de Polignac number, because 2981601 - 22 = 2981597 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2981401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2940 + ... + 3821.

It is an arithmetic number, because the mean of its divisors is an integer number (278369).

22981601 is an apocalyptic number.

2981601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2981601 is a deficient number, since it is larger than the sum of its proper divisors (2029041).

2981601 is a wasteful number, since it uses less digits than its factorization.

2981601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2981601 is about 1726.7313050964. The cubic root of 2981601 is about 143.9295083222.

The spelling of 2981601 in words is "two million, nine hundred eighty-one thousand, six hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 6761 20283 47327 60849 141981 331289 425943 993867 2981601