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5742333 = 367877
BaseRepresentation
bin10101111001111011111101
3101210202000000
4111321323331
52432223313
6323024513
766544332
oct25717375
911722000
105742333
113272333
121b0b139
13126093c
14a96989
15786673
hex579efd

5742333 has 14 divisors (see below), whose sum is σ = 8610654. Its totient is φ = 3827736.

The previous prime is 5742287. The next prime is 5742361. The reversal of 5742333 is 3332475.

It can be written as a sum of positive squares in only one way, i.e., 3992004 + 1750329 = 1998^2 + 1323^2 .

It is a de Polignac number, because none of the positive numbers 2k-5742333 is a prime.

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

It is a d-powerful number, because it can be written as 57 + 74 + 44 + 219 + 311 + 311 + 314 .

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 5742297 and 5742306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742383) 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 13 ways as a sum of consecutive naturals, for example, 3210 + ... + 4667.

Almost surely, 25742333 is an apocalyptic number.

It is an amenable number.

5742333 is a deficient number, since it is larger than the sum of its proper divisors (2868321).

5742333 is an frugal number, since it uses more digits than its factorization.

5742333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7880 counting only the distinct ones).

The product of its digits is 7560, while the sum is 27.

The square root of 5742333 is about 2396.3165483717. The cubic root of 5742333 is about 179.0727313854.

The spelling of 5742333 in words is "five million, seven hundred forty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 27 81 243 729 7877 23631 70893 212679 638037 1914111 5742333