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55106004 = 223191012393
BaseRepresentation
bin1101001000110…
…1100111010100
310211200200020010
43102031213110
5103101343004
65245040220
71236251622
oct322154724
9124620203
1055106004
1129118a58
1216556070
13b555505
147466512
154c87a89
hex348d9d4

55106004 has 48 divisors (see below), whose sum is σ = 136745280. Its totient is φ = 17222400.

The previous prime is 55105979. The next prime is 55106033. The reversal of 55106004 is 40060155.

It is a happy number.

55106004 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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21832 + ... + 24224.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 255106004 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 55106004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640).

55106004 is an abundant number, since it is smaller than the sum of its proper divisors (81639276).

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

55106004 is a wasteful number, since it uses less digits than its factorization.

55106004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55106004 is about 7423.3418350498. The cubic root of 55106004 is about 380.5394093855.

Adding to 55106004 its reverse (40060155), we get a palindrome (95166159).

The spelling of 55106004 in words is "fifty-five million, one hundred six thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 404 606 1212 1919 2393 3838 4786 5757 7179 7676 9572 11514 14358 23028 28716 45467 90934 136401 181868 241693 272802 483386 545604 725079 966772 1450158 2900316 4592167 9184334 13776501 18368668 27553002 55106004