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864132749 = 192910714657
BaseRepresentation
bin110011100000011…
…001111010001101
32020020000111021122
4303200121322031
53232204221444
6221425210325
730262002314
oct6340317215
92206014248
10864132749
114038647a7
122014909a5
1310a048c6c
1482aa127b
1550ce44ee
hex33819e8d

864132749 has 16 divisors (see below), whose sum is σ = 949838400. Its totient is φ = 782982144.

The previous prime is 864132739. The next prime is 864132757. The reversal of 864132749 is 947231468.

864132749 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 a de Polignac number, because none of the positive numbers 2k-864132749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864132739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51629 + ... + 66285.

It is an arithmetic number, because the mean of its divisors is an integer number (59364900).

Almost surely, 2864132749 is an apocalyptic number.

It is an amenable number.

864132749 is a deficient number, since it is larger than the sum of its proper divisors (85705651).

864132749 is a wasteful number, since it uses less digits than its factorization.

864132749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14812.

The product of its digits is 290304, while the sum is 44.

The square root of 864132749 is about 29396.1349330146. The cubic root of 864132749 is about 952.4894078270.

The spelling of 864132749 in words is "eight hundred sixty-four million, one hundred thirty-two thousand, seven hundred forty-nine".

Divisors: 1 19 29 107 551 2033 3103 14657 58957 278483 425053 1568299 8076007 29797681 45480671 864132749