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37066393 = 721358189
BaseRepresentation
bin1000110101100…
…1011010011001
32120202011112101
42031121122121
533442111033
63402243401
7630026200
oct215313231
976664471
1037066393
1119a17591
12104b6561
1378aa4a0
144ccc237
1533c297d
hex2359699

37066393 has 12 divisors (see below), whose sum is σ = 46435620. Its totient is φ = 29326752.

The previous prime is 37066349. The next prime is 37066411. The reversal of 37066393 is 39366073.

37066393 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 2 ways, for example, as 4439449 + 32626944 = 2107^2 + 5712^2 .

It is not a de Polignac number, because 37066393 - 29 = 37065881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37066303) 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 11 ways as a sum of consecutive naturals, for example, 28458 + ... + 29731.

It is an arithmetic number, because the mean of its divisors is an integer number (3869635).

Almost surely, 237066393 is an apocalyptic number.

It is an amenable number.

37066393 is a deficient number, since it is larger than the sum of its proper divisors (9369227).

37066393 is a wasteful number, since it uses less digits than its factorization.

37066393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58216 (or 58209 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 37.

The square root of 37066393 is about 6088.2175552455. The cubic root of 37066393 is about 333.4213779646.

The spelling of 37066393 in words is "thirty-seven million, sixty-six thousand, three hundred ninety-three".

Divisors: 1 7 13 49 91 637 58189 407323 756457 2851261 5295199 37066393