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36828337 = 7131014007
BaseRepresentation
bin1000110001111…
…1010010110001
32120022001222111
42030133102301
533412001322
63353205321
7625015150
oct214372261
976261874
1036828337
1119874747
1210400841
137826020
144c69597
153377177
hex231f4b1

36828337 has 16 divisors (see below), whose sum is σ = 45787392. Its totient is φ = 28843200.

The previous prime is 36828329. The next prime is 36828361. The reversal of 36828337 is 73382863.

36828337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 36828337 - 23 = 36828329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36828337.

It is not an unprimeable number, because it can be changed into a prime (36828367) 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 15 ways as a sum of consecutive naturals, for example, 7188 + ... + 11194.

It is an arithmetic number, because the mean of its divisors is an integer number (2861712).

Almost surely, 236828337 is an apocalyptic number.

It is an amenable number.

36828337 is a deficient number, since it is larger than the sum of its proper divisors (8959055).

36828337 is a wasteful number, since it uses less digits than its factorization.

36828337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128.

The product of its digits is 145152, while the sum is 40.

The square root of 36828337 is about 6068.6355138532. The cubic root of 36828337 is about 332.7060535228.

The spelling of 36828337 in words is "thirty-six million, eight hundred twenty-eight thousand, three hundred thirty-seven".

Divisors: 1 7 13 91 101 707 1313 4007 9191 28049 52091 364637 404707 2832949 5261191 36828337