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40073729 is a prime number
BaseRepresentation
bin1001100011011…
…1101000000001
32210101221211012
42120313220001
540224324404
63550530305
7664423013
oct230675001
983357735
1040073729
1120690a93
1211506995
1383c1287
1454721b3
1537b8a6e
hex2637a01

40073729 has 2 divisors, whose sum is σ = 40073730. Its totient is φ = 40073728.

The previous prime is 40073711. The next prime is 40073771. The reversal of 40073729 is 92737004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38688400 + 1385329 = 6220^2 + 1177^2 .

It is a cyclic number.

It is not a de Polignac number, because 40073729 - 216 = 40008193 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 40073695 and 40073704.

It is not a weakly prime, because it can be changed into another prime (40073329) 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 as a sum of consecutive naturals, namely, 20036864 + 20036865.

It is an arithmetic number, because the mean of its divisors is an integer number (20036865).

Almost surely, 240073729 is an apocalyptic number.

It is an amenable number.

40073729 is a deficient number, since it is larger than the sum of its proper divisors (1).

40073729 is an equidigital number, since it uses as much as digits as its factorization.

40073729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 40073729 is about 6330.3814261070. The cubic root of 40073729 is about 342.2051850593.

The spelling of 40073729 in words is "forty million, seventy-three thousand, seven hundred twenty-nine".