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157288249 is a prime number
BaseRepresentation
bin10010110000000…
…00011100111001
3101221222001220201
421120000130321
5310231210444
623335122201
73616633216
oct1130003471
9357861821
10157288249
118086aa98
1244813361
1326781391
1416c64b0d
15dc1ddd4
hex9600739

157288249 has 2 divisors, whose sum is σ = 157288250. Its totient is φ = 157288248.

The previous prime is 157288247. The next prime is 157288291. The reversal of 157288249 is 942882751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93799225 + 63489024 = 9685^2 + 7968^2 .

It is a cyclic number.

It is not a de Polignac number, because 157288249 - 21 = 157288247 is a prime.

Together with 157288247, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 157288199 and 157288208.

It is not a weakly prime, because it can be changed into another prime (157288247) 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, 78644124 + 78644125.

It is an arithmetic number, because the mean of its divisors is an integer number (78644125).

Almost surely, 2157288249 is an apocalyptic number.

It is an amenable number.

157288249 is a deficient number, since it is larger than the sum of its proper divisors (1).

157288249 is an equidigital number, since it uses as much as digits as its factorization.

157288249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 322560, while the sum is 46.

The square root of 157288249 is about 12541.4611987599. The cubic root of 157288249 is about 539.7990210016.

The spelling of 157288249 in words is "one hundred fifty-seven million, two hundred eighty-eight thousand, two hundred forty-nine".