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853839629 is a prime number
BaseRepresentation
bin110010111001001…
…000111100001101
32012111122112202222
4302321020330031
53222040332004
6220420425125
730105342236
oct6271107415
92174575688
10853839629
113a8a74395
121b9b481a5
13107b83b66
148158208d
154ee5e7be
hex32e48f0d

853839629 has 2 divisors, whose sum is σ = 853839630. Its totient is φ = 853839628.

The previous prime is 853839601. The next prime is 853839641. The reversal of 853839629 is 926938358.

853839629 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., 677560900 + 176278729 = 26030^2 + 13277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-853839629 is a prime.

It is a super-2 number, since 2×8538396292 = 1458084224101715282, 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 (853839659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426919814 + 426919815.

It is an arithmetic number, because the mean of its divisors is an integer number (426919815).

Almost surely, 2853839629 is an apocalyptic number.

It is an amenable number.

853839629 is a deficient number, since it is larger than the sum of its proper divisors (1).

853839629 is an equidigital number, since it uses as much as digits as its factorization.

853839629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2799360, while the sum is 53.

The square root of 853839629 is about 29220.5343722527. The cubic root of 853839629 is about 948.6924315754.

The spelling of 853839629 in words is "eight hundred fifty-three million, eight hundred thirty-nine thousand, six hundred twenty-nine".