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42297829 = 722693209
BaseRepresentation
bin1010000101011…
…0100111100101
32221120221201021
42201112213211
541312012304
64110331141
71022345200
oct241264745
987527637
1042297829
112196aa92
12121b9ab1
1389bc702
145890937
153aa7a54
hex28569e5

42297829 has 12 divisors (see below), whose sum is σ = 49401900. Its totient is φ = 36109248.

The previous prime is 42297817. The next prime is 42297859. The reversal of 42297829 is 92879224.

42297829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11716929 + 30580900 = 3423^2 + 5530^2 .

It is not a de Polignac number, because 42297829 - 25 = 42297797 is a prime.

It is a super-2 number, since 2×422978292 = 3578212676226482, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42297859) 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, 11577 + ... + 14785.

It is an arithmetic number, because the mean of its divisors is an integer number (4116825).

Almost surely, 242297829 is an apocalyptic number.

42297829 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

42297829 is a deficient number, since it is larger than the sum of its proper divisors (7104071).

42297829 is a wasteful number, since it uses less digits than its factorization.

42297829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3485 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 42297829 is about 6503.6781131910. The cubic root of 42297829 is about 348.4223661267.

The spelling of 42297829 in words is "forty-two million, two hundred ninety-seven thousand, eight hundred twenty-nine".

Divisors: 1 7 49 269 1883 3209 13181 22463 157241 863221 6042547 42297829