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42153157 is a prime number
BaseRepresentation
bin1010000011001…
…1010011000101
32221022121021001
42200303103011
541242400112
64103253301
71021203334
oct240632305
987277231
1042153157
1121881322
121214a231
13896b8c7
145853d1b
153a79c57
hex28334c5

42153157 has 2 divisors, whose sum is σ = 42153158. Its totient is φ = 42153156.

The previous prime is 42153131. The next prime is 42153169. The reversal of 42153157 is 75135124.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33189121 + 8964036 = 5761^2 + 2994^2 .

It is a cyclic number.

It is not a de Polignac number, because 42153157 - 215 = 42120389 is a prime.

It is equal to p2556361 and since 42153157 and 2556361 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42153187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21076578 + 21076579.

It is an arithmetic number, because the mean of its divisors is an integer number (21076579).

Almost surely, 242153157 is an apocalyptic number.

It is an amenable number.

42153157 is a deficient number, since it is larger than the sum of its proper divisors (1).

42153157 is an equidigital number, since it uses as much as digits as its factorization.

42153157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 28.

The square root of 42153157 is about 6492.5462647562. The cubic root of 42153157 is about 348.0246740113.

The spelling of 42153157 in words is "forty-two million, one hundred fifty-three thousand, one hundred fifty-seven".