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3831375825 = 325224170657
BaseRepresentation
bin1110010001011110…
…0010011111010001
3100220000102001120100
43210113202133101
530321313011300
61432103403013
7163642104624
oct34427423721
910800361510
103831375825
111696791402
128ab153469
13490a016b4
14284bbbdbb
15176567700
hexe45e27d1

3831375825 has 36 divisors (see below), whose sum is σ = 6890992108. Its totient is φ = 2034892800.

The previous prime is 3831375797. The next prime is 3831375827. The reversal of 3831375825 is 5285731383.

3831375825 is a `hidden beast` number, since 3 + 8 + 31 + 37 + 582 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 264777984 + 3566597841 = 16272^2 + 59721^2 .

It is not a de Polignac number, because 3831375825 - 26 = 3831375761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3831375827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18897 + ... + 89553.

Almost surely, 23831375825 is an apocalyptic number.

It is an amenable number.

3831375825 is a deficient number, since it is larger than the sum of its proper divisors (3059616283).

3831375825 is a wasteful number, since it uses less digits than its factorization.

3831375825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70914 (or 70906 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 3831375825 is about 61898.1084121316. The cubic root of 3831375825 is about 1564.7738685953.

The spelling of 3831375825 in words is "three billion, eight hundred thirty-one million, three hundred seventy-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 241 723 1205 2169 3615 6025 10845 18075 54225 70657 211971 353285 635913 1059855 1766425 3179565 5299275 15897825 17028337 51085011 85141685 153255033 255425055 425708425 766275165 1277125275 3831375825