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55006237 = 11413172
BaseRepresentation
bin1101000111010…
…1010000011101
310211111121101001
43101311100131
5103040144422
65242550301
71235355016
oct321652035
9124447331
1055006237
1129060000
1216508391
13b51bc90
14743c00d
154c68227
hex347541d

55006237 has 30 divisors (see below), whose sum is σ = 69219290. Its totient is φ = 43443840.

The previous prime is 55006229. The next prime is 55006241. The reversal of 55006237 is 73260055.

55006237 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 3 ways, for example, as 12313081 + 42693156 = 3509^2 + 6534^2 .

It is not a de Polignac number, because 55006237 - 23 = 55006229 is a prime.

It is a super-2 number, since 2×550062372 = 6051372217800338, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55006247) 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 29 ways as a sum of consecutive naturals, for example, 3235653 + ... + 3235669.

Almost surely, 255006237 is an apocalyptic number.

It is an amenable number.

55006237 is a deficient number, since it is larger than the sum of its proper divisors (14213053).

55006237 is an equidigital number, since it uses as much as digits as its factorization.

55006237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 55006237 is about 7416.6189736294. The cubic root of 55006237 is about 380.3096206931.

The spelling of 55006237 in words is "fifty-five million, six thousand, two hundred thirty-seven".

Divisors: 1 11 13 17 121 143 187 221 289 1331 1573 2057 2431 3179 3757 14641 17303 22627 26741 34969 41327 190333 248897 294151 384659 454597 3235661 4231249 5000567 55006237