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157858409 is a prime number
BaseRepresentation
bin10010110100010…
…11101001101001
3102000001001000202
421122023221221
5310402432114
623355241545
73624526412
oct1132135151
9360031022
10157858409
118111a3a5
1244a492b5
1326920a57
1416d72809
15dcd2cde
hex968ba69

157858409 has 2 divisors, whose sum is σ = 157858410. Its totient is φ = 157858408.

The previous prime is 157858381. The next prime is 157858411. The reversal of 157858409 is 904858751.

157858409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84584809 + 73273600 = 9197^2 + 8560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157858409 is a prime.

It is a super-2 number, since 2×1578584092 = 49838554584022562, which contains 22 as substring.

Together with 157858411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (157858439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78929204 + 78929205.

It is an arithmetic number, because the mean of its divisors is an integer number (78929205).

Almost surely, 2157858409 is an apocalyptic number.

It is an amenable number.

157858409 is a deficient number, since it is larger than the sum of its proper divisors (1).

157858409 is an equidigital number, since it uses as much as digits as its factorization.

157858409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 403200, while the sum is 47.

The square root of 157858409 is about 12564.1716400247. The cubic root of 157858409 is about 540.4504802903.

The spelling of 157858409 in words is "one hundred fifty-seven million, eight hundred fifty-eight thousand, four hundred nine".