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55961641 is a prime number
BaseRepresentation
bin1101010101111…
…0100000101001
310220022010221101
43111132200221
5103311233031
65315241401
71246444321
oct325364051
9126263841
1055961641
112965289a
12168a9261
13b794ac8
14760a281
154da6361
hex355e829

55961641 has 2 divisors, whose sum is σ = 55961642. Its totient is φ = 55961640.

The previous prime is 55961639. The next prime is 55961699. The reversal of 55961641 is 14616955.

55961641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30206016 + 25755625 = 5496^2 + 5075^2 .

It is a cyclic number.

It is not a de Polignac number, because 55961641 - 21 = 55961639 is a prime.

Together with 55961639, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 55961641.

It is not a weakly prime, because it can be changed into another prime (55961341) 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 as a sum of consecutive naturals, namely, 27980820 + 27980821.

It is an arithmetic number, because the mean of its divisors is an integer number (27980821).

Almost surely, 255961641 is an apocalyptic number.

It is an amenable number.

55961641 is a deficient number, since it is larger than the sum of its proper divisors (1).

55961641 is an equidigital number, since it uses as much as digits as its factorization.

55961641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32400, while the sum is 37.

The square root of 55961641 is about 7480.7513660060. The cubic root of 55961641 is about 382.4988616880.

The spelling of 55961641 in words is "fifty-five million, nine hundred sixty-one thousand, six hundred forty-one".