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157946849 is a prime number
BaseRepresentation
bin10010110101000…
…01001111100001
3102000012112100022
421122201033201
5310413244344
623401203225
73625345304
oct1132411741
9360175308
10157946849
118117a895
1244a90515
1326952098
1416d96b3b
15dcee0ee
hex96a13e1

157946849 has 2 divisors, whose sum is σ = 157946850. Its totient is φ = 157946848.

The previous prime is 157946843. The next prime is 157946851. The reversal of 157946849 is 948649751.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147501025 + 10445824 = 12145^2 + 3232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157946849 is a prime.

Together with 157946851, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157946849.

It is not a weakly prime, because it can be changed into another prime (157946843) 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 as a sum of consecutive naturals, namely, 78973424 + 78973425.

It is an arithmetic number, because the mean of its divisors is an integer number (78973425).

Almost surely, 2157946849 is an apocalyptic number.

It is an amenable number.

157946849 is a deficient number, since it is larger than the sum of its proper divisors (1).

157946849 is an equidigital number, since it uses as much as digits as its factorization.

157946849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2177280, while the sum is 53.

The square root of 157946849 is about 12567.6906788797. The cubic root of 157946849 is about 540.5513903767.

The spelling of 157946849 in words is "one hundred fifty-seven million, nine hundred forty-six thousand, eight hundred forty-nine".