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4742145 = 3651301
BaseRepresentation
bin10010000101110000000001
322220221000000
4102011300001
52203222040
6245350213
755210332
oct22056001
98827000
104742145
112749931
121708369
13ca0605
148b6289
1563a130
hex485c01

4742145 has 28 divisors (see below), whose sum is σ = 8538516. Its totient is φ = 2527200.

The previous prime is 4742141. The next prime is 4742147. The reversal of 4742145 is 5412474.

It can be written as a sum of positive squares in 2 ways, for example, as 531441 + 4210704 = 729^2 + 2052^2 .

It is not a de Polignac number, because 4742145 - 22 = 4742141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

4742145 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4742141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2995 + ... + 4295.

It is an arithmetic number, because the mean of its divisors is an integer number (304947).

Almost surely, 24742145 is an apocalyptic number.

4742145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4742145 is a deficient number, since it is larger than the sum of its proper divisors (3796371).

4742145 is an equidigital number, since it uses as much as digits as its factorization.

4742145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1309 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 4742145 is about 2177.6466655544. The cubic root of 4742145 is about 168.0060584550.

The spelling of 4742145 in words is "four million, seven hundred forty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 1301 3645 3903 6505 11709 19515 35127 58545 105381 175635 316143 526905 948429 1580715 4742145