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4157397 = 32461933
BaseRepresentation
bin1111110110111111010101
321211012212200
433312333111
52031014042
6225035113
750223456
oct17667725
97735780
104157397
11238a572
121485a99
13b273ca
147a312d
15571c4c
hex3f6fd5

4157397 has 6 divisors (see below), whose sum is σ = 6005142. Its totient is φ = 2771592.

The previous prime is 4157347. The next prime is 4157399. The reversal of 4157397 is 7937514.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3218436 + 938961 = 1794^2 + 969^2 .

It is not a de Polignac number, because 4157397 - 27 = 4157269 is a prime.

It is a super-3 number, since 3×41573973 (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157399) 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 5 ways as a sum of consecutive naturals, for example, 230958 + ... + 230975.

It is an arithmetic number, because the mean of its divisors is an integer number (1000857).

Almost surely, 24157397 is an apocalyptic number.

It is an amenable number.

4157397 is a deficient number, since it is larger than the sum of its proper divisors (1847745).

4157397 is a wasteful number, since it uses less digits than its factorization.

4157397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461939 (or 461936 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 4157397 is about 2038.9695927110. The cubic root of 4157397 is about 160.7954786358.

It can be divided in two parts, 4157 and 397, that added together give a palindrome (4554).

The spelling of 4157397 in words is "four million, one hundred fifty-seven thousand, three hundred ninety-seven".

Divisors: 1 3 9 461933 1385799 4157397