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45957157 is a prime number
BaseRepresentation
bin1010111101010…
…0000000100101
310012110212100221
42233110000211
543231112112
64321004341
71065425611
oct257240045
9105425327
1045957157
1123a3a324
12134836b1
1396a11ac
146164341
15407be07
hex2bd4025

45957157 has 2 divisors, whose sum is σ = 45957158. Its totient is φ = 45957156.

The previous prime is 45957133. The next prime is 45957179. The reversal of 45957157 is 75175954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43046721 + 2910436 = 6561^2 + 1706^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45957157 is a prime.

It is a super-2 number, since 2×459571572 = 4224120559045298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45957557) 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, 22978578 + 22978579.

It is an arithmetic number, because the mean of its divisors is an integer number (22978579).

Almost surely, 245957157 is an apocalyptic number.

It is an amenable number.

45957157 is a deficient number, since it is larger than the sum of its proper divisors (1).

45957157 is an equidigital number, since it uses as much as digits as its factorization.

45957157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 220500, while the sum is 43.

The square root of 45957157 is about 6779.1708195029. The cubic root of 45957157 is about 358.1935144912.

The spelling of 45957157 in words is "forty-five million, nine hundred fifty-seven thousand, one hundred fifty-seven".