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152838317 is a prime number
BaseRepresentation
bin10010001110000…
…10000010101101
3101122120222202102
421013002002231
5303111311232
623055504445
73534050522
oct1107020255
9348528672
10152838317
1179300765
1243228125
1325883a98
1416427149
15d640662
hex91c20ad

152838317 has 2 divisors, whose sum is σ = 152838318. Its totient is φ = 152838316.

The previous prime is 152838307. The next prime is 152838353. The reversal of 152838317 is 713838251.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134699236 + 18139081 = 11606^2 + 4259^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-152838317 is a prime.

It is a super-2 number, since 2×1528383172 = 46719102286784978, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (152838307) 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, 76419158 + 76419159.

It is an arithmetic number, because the mean of its divisors is an integer number (76419159).

Almost surely, 2152838317 is an apocalyptic number.

It is an amenable number.

152838317 is a deficient number, since it is larger than the sum of its proper divisors (1).

152838317 is an equidigital number, since it uses as much as digits as its factorization.

152838317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 38.

The square root of 152838317 is about 12362.7795013905. The cubic root of 152838317 is about 534.6596571777.

The spelling of 152838317 in words is "one hundred fifty-two million, eight hundred thirty-eight thousand, three hundred seventeen".