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3742965 = 32583177
BaseRepresentation
bin1110010001110011110101
321001011101100
432101303311
51424233330
6212120313
743546302
oct16216365
97034340
103742965
112127166
121306099
13a10895
146d60a9
154de060
hex391cf5

3742965 has 12 divisors (see below), whose sum is σ = 6487884. Its totient is φ = 1996224.

The previous prime is 3742961. The next prime is 3742987. The reversal of 3742965 is 5692473.

It can be written as a sum of positive squares in 2 ways, for example, as 1695204 + 2047761 = 1302^2 + 1431^2 .

It is not a de Polignac number, because 3742965 - 22 = 3742961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742961) 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 11 ways as a sum of consecutive naturals, for example, 41544 + ... + 41633.

It is an arithmetic number, because the mean of its divisors is an integer number (540657).

Almost surely, 23742965 is an apocalyptic number.

It is an amenable number.

3742965 is a deficient number, since it is larger than the sum of its proper divisors (2744919).

3742965 is a wasteful number, since it uses less digits than its factorization.

3742965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83188 (or 83185 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3742965 is about 1934.6743912090. The cubic root of 3742965 is about 155.2644116784.

The spelling of 3742965 in words is "three million, seven hundred forty-two thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 83177 249531 415885 748593 1247655 3742965