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157417933 is a prime number
BaseRepresentation
bin10010110001000…
…00000111001101
3101222012122210211
421120200013031
5310244333213
623342002421
73621013261
oct1130400715
9358178724
10157417933
1180949472
1244876411
13267c840a
1416c9a0a1
15dc4753d
hex96201cd

157417933 has 2 divisors, whose sum is σ = 157417934. Its totient is φ = 157417932.

The previous prime is 157417903. The next prime is 157417991. The reversal of 157417933 is 339714751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155825289 + 1592644 = 12483^2 + 1262^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157417933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157417903) 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, 78708966 + 78708967.

It is an arithmetic number, because the mean of its divisors is an integer number (78708967).

Almost surely, 2157417933 is an apocalyptic number.

It is an amenable number.

157417933 is a deficient number, since it is larger than the sum of its proper divisors (1).

157417933 is an equidigital number, since it uses as much as digits as its factorization.

157417933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 79380, while the sum is 40.

The square root of 157417933 is about 12546.6303444391. The cubic root of 157417933 is about 539.9473348273.

The spelling of 157417933 in words is "one hundred fifty-seven million, four hundred seventeen thousand, nine hundred thirty-three".