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36064875 = 3537111249
BaseRepresentation
bin1000100110010…
…0111001101011
32111212021201010
42021210321223
533213034000
63324555003
7615355260
oct211447153
974767633
1036064875
11193a3090
12100b2a63
137619682
144b0b267
153275d50
hex2264e6b

36064875 has 64 divisors (see below), whose sum is σ = 74880000. Its totient is φ = 14976000.

The previous prime is 36064867. The next prime is 36064883. The reversal of 36064875 is 57846063.

36064875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36064867) and next prime (36064883).

It is not a de Polignac number, because 36064875 - 23 = 36064867 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 28251 + ... + 29499.

It is an arithmetic number, because the mean of its divisors is an integer number (1170000).

Almost surely, 236064875 is an apocalyptic number.

36064875 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36064875 is an abundant number, since it is smaller than the sum of its proper divisors (38815125).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36064875 is a wasteful number, since it uses less digits than its factorization.

36064875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 36064875 is about 6005.4038165639. The cubic root of 36064875 is about 330.3909507993.

The spelling of 36064875 in words is "thirty-six million, sixty-four thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 165 175 231 275 375 385 525 825 875 1155 1249 1375 1925 2625 3747 4125 5775 6245 8743 9625 13739 18735 26229 28875 31225 41217 43715 68695 93675 96173 131145 156125 206085 218575 288519 343475 468375 480865 655725 1030425 1092875 1442595 1717375 2404325 3278625 5152125 7212975 12021625 36064875