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40737073 = 134337237
BaseRepresentation
bin1001101101100…
…1100100110001
32211122122202111
42123121210301
540412041243
64013045321
71003154656
oct233314461
984578674
1040737073
1120aa4403
1211786841
1385941a0
1455a5c2d
15389a39d
hex26d9931

40737073 has 8 divisors (see below), whose sum is σ = 43978088. Its totient is φ = 37511424.

The previous prime is 40737041. The next prime is 40737077. The reversal of 40737073 is 37073704.

40737073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 134689 + 40602384 = 367^2 + 6372^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(40737073) divides (40737073-1)7.

It is a cyclic number.

It is not a de Polignac number, because 40737073 - 25 = 40737041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40737077) 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 7 ways as a sum of consecutive naturals, for example, 2011 + ... + 9247.

It is an arithmetic number, because the mean of its divisors is an integer number (5497261).

Almost surely, 240737073 is an apocalyptic number.

It is an amenable number.

40737073 is a deficient number, since it is larger than the sum of its proper divisors (3241015).

40737073 is a wasteful number, since it uses less digits than its factorization.

40737073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683.

The product of its (nonzero) digits is 12348, while the sum is 31.

The square root of 40737073 is about 6382.5600663057. The cubic root of 40737073 is about 344.0830456839.

The spelling of 40737073 in words is "forty million, seven hundred thirty-seven thousand, seventy-three".

Divisors: 1 13 433 5629 7237 94081 3133621 40737073