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36982125 = 325371463
BaseRepresentation
bin1000110100010…
…0110101101101
32120120212221100
42031010311231
533431412000
63400353313
7626225415
oct215046555
976525840
1036982125
111996a244
1210475839
13787b01b
144ca9645
1533a7a00
hex2344d6d

36982125 has 48 divisors (see below), whose sum is σ = 67751424. Its totient is φ = 19404000.

The previous prime is 36982111. The next prime is 36982147. The reversal of 36982125 is 52128963.

36982125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36982125 - 24 = 36982109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36982125.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 79644 + ... + 80106.

It is an arithmetic number, because the mean of its divisors is an integer number (1411488).

Almost surely, 236982125 is an apocalyptic number.

It is an amenable number.

36982125 is a deficient number, since it is larger than the sum of its proper divisors (30769299).

36982125 is a wasteful number, since it uses less digits than its factorization.

36982125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 36982125 is about 6081.2930368467. The cubic root of 36982125 is about 333.1685157411.

The spelling of 36982125 in words is "thirty-six million, nine hundred eighty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 71 75 125 213 225 355 375 463 639 1065 1125 1389 1775 2315 3195 4167 5325 6945 8875 11575 15975 20835 26625 32873 34725 57875 79875 98619 104175 164365 173625 295857 493095 520875 821825 1479285 2465475 4109125 7396425 12327375 36982125