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55066536 = 23327176427
BaseRepresentation
bin1101001000001…
…1111110101000
310211121200002100
43102003332220
5103044112121
65244133400
71236025560
oct322037650
9124550070
1055066536
11290a1338
1216537260
13b540565
147455da0
154c7b026
hex3483fa8

55066536 has 96 divisors (see below), whose sum is σ = 180498240. Its totient is φ = 14805504.

The previous prime is 55066507. The next prime is 55066537. The reversal of 55066536 is 63566055.

It is a happy number.

55066536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55066536.

It is not an unprimeable number, because it can be changed into a prime (55066537) 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, 5355 + ... + 11781.

It is an arithmetic number, because the mean of its divisors is an integer number (1880190).

Almost surely, 255066536 is an apocalyptic number.

55066536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55066536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90249120).

55066536 is an abundant number, since it is smaller than the sum of its proper divisors (125431704).

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

55066536 is a wasteful number, since it uses less digits than its factorization.

55066536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 55066536 is about 7420.6829874345. The cubic root of 55066536 is about 380.4485377599.

The spelling of 55066536 in words is "fifty-five million, sixty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 6427 8568 12854 19281 25708 38562 44989 51416 57843 77124 89978 109259 115686 134967 154248 179956 218518 231372 269934 327777 359912 404901 437036 462744 539868 655554 764813 809802 874072 983331 1079736 1311108 1529626 1619604 1966662 2294439 2622216 3059252 3239208 3933324 4588878 6118504 6883317 7866648 9177756 13766634 18355512 27533268 55066536