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40605761 = 723722397
BaseRepresentation
bin1001101011100…
…1100001000001
32211101222122002
42122321201001
540343341021
64010153345
71002100100
oct232714101
984358562
1040605761
1120a14789
1211722855
1385494a1
145570037
15387150b
hex26b9841

40605761 has 12 divisors (see below), whose sum is σ = 48514068. Its totient is φ = 33862752.

The previous prime is 40605749. The next prime is 40605769. The reversal of 40605761 is 16750604.

It can be written as a sum of positive squares in 2 ways, for example, as 37945600 + 2660161 = 6160^2 + 1631^2 .

It is not a de Polignac number, because 40605761 - 222 = 36411457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40605769) 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 11 ways as a sum of consecutive naturals, for example, 9386 + ... + 13011.

It is an arithmetic number, because the mean of its divisors is an integer number (4042839).

Almost surely, 240605761 is an apocalyptic number.

It is an amenable number.

40605761 is a deficient number, since it is larger than the sum of its proper divisors (7908307).

40605761 is a wasteful number, since it uses less digits than its factorization.

40605761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22448 (or 22441 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 40605761 is about 6372.2649819354. The cubic root of 40605761 is about 343.7129416359.

The spelling of 40605761 in words is "forty million, six hundred five thousand, seven hundred sixty-one".

Divisors: 1 7 37 49 259 1813 22397 156779 828689 1097453 5800823 40605761