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55461406 = 27111322131
BaseRepresentation
bin1101001110010…
…0011000011110
310212100201202011
43103210120132
5103144231111
65300421434
71242262030
oct323443036
9125321664
1055461406
1129340a80
12166a787a
13b64b200
147519c50
154d08021
hex34e461e

55461406 has 48 divisors (see below), whose sum is σ = 112364928. Its totient is φ = 19936800.

The previous prime is 55461401. The next prime is 55461421. The reversal of 55461406 is 60416455.

55461406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55461401) 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 23 ways as a sum of consecutive naturals, for example, 24961 + ... + 27091.

It is an arithmetic number, because the mean of its divisors is an integer number (2340936).

Almost surely, 255461406 is an apocalyptic number.

55461406 is an abundant number, since it is smaller than the sum of its proper divisors (56903522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55461406 is a wasteful number, since it uses less digits than its factorization.

55461406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 55461406 is about 7447.2415027311. The cubic root of 55461406 is about 381.3557436325.

The spelling of 55461406 in words is "fifty-five million, four hundred sixty-one thousand, four hundred six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 286 338 1001 1183 1859 2002 2131 2366 3718 4262 13013 14917 23441 26026 27703 29834 46882 55406 164087 193921 304733 328174 360139 387842 609466 720278 2133131 2520973 3961529 4266262 5041946 7923058 27730703 55461406