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55105739 = 137953657
BaseRepresentation
bin1101001000110…
…1100011001011
310211200122212022
43102031203023
5103101340424
65245035055
71236251063
oct322154313
9124618768
1055105739
1129118837
1216555a8b
13b555360
1474663a3
154c8795e
hex348d8cb

55105739 has 8 divisors (see below), whose sum is σ = 60096960. Its totient is φ = 50222016.

The previous prime is 55105733. The next prime is 55105759. The reversal of 55105739 is 93750155.

55105739 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-55105739 is a prime.

It is a super-2 number, since 2×551057392 = 6073284941472242, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55105699 and 55105708.

It is not an unprimeable number, because it can be changed into a prime (55105733) 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 in 7 ways as a sum of consecutive naturals, for example, 25802 + ... + 27855.

It is an arithmetic number, because the mean of its divisors is an integer number (7512120).

Almost surely, 255105739 is an apocalyptic number.

55105739 is a deficient number, since it is larger than the sum of its proper divisors (4991221).

55105739 is a wasteful number, since it uses less digits than its factorization.

55105739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53749.

The product of its (nonzero) digits is 23625, while the sum is 35.

The square root of 55105739 is about 7423.3239859244. The cubic root of 55105739 is about 380.5387993909.

The spelling of 55105739 in words is "fifty-five million, one hundred five thousand, seven hundred thirty-nine".

Divisors: 1 13 79 1027 53657 697541 4238903 55105739