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55165840 = 245977109
BaseRepresentation
bin1101001001110…
…0001110010000
310211210201022021
43102130032100
5103110301330
65250221224
71236621232
oct322341620
9124721267
1055165840
1129159a04
1216584814
13b576812
147480252
154c9a67a
hex349c390

55165840 has 40 divisors (see below), whose sum is σ = 129601080. Its totient is φ = 21835776.

The previous prime is 55165823. The next prime is 55165907. The reversal of 55165840 is 4856155.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 524176 + 54641664 = 724^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 55165796 and 55165805.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 4206 + ... + 11314.

It is an arithmetic number, because the mean of its divisors is an integer number (3240027).

Almost surely, 255165840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55165840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800540).

55165840 is an abundant number, since it is smaller than the sum of its proper divisors (74435240).

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

55165840 is a wasteful number, since it uses less digits than its factorization.

55165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7219 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 55165840 is about 7427.3710019091. The cubic root of 55165840 is about 380.6770938358.

The spelling of 55165840 in words is "fifty-five million, one hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7109 7760 14218 28436 35545 56872 71090 113744 142180 284360 568720 689573 1379146 2758292 3447865 5516584 6895730 11033168 13791460 27582920 55165840