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55053306 = 232711223157
BaseRepresentation
bin1101001000000…
…0101111111010
310211120222221100
43102000233322
5103043201211
65243552230
71235642160
oct322005772
9124528840
1055053306
1129092400
121652b676
13b537529
147451230
154c77156
hex3480bfa

55053306 has 144 divisors (see below), whose sum is σ = 157352832. Its totient is φ = 13590720.

The previous prime is 55053277. The next prime is 55053307. The reversal of 55053306 is 60335055.

It is a happy number.

55053306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 55053306.

It is not an unprimeable number, because it can be changed into a prime (55053307) 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 71 ways as a sum of consecutive naturals, for example, 350580 + ... + 350736.

It is an arithmetic number, because the mean of its divisors is an integer number (1092728).

Almost surely, 255053306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55053306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78676416).

55053306 is an abundant number, since it is smaller than the sum of its proper divisors (102299526).

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

55053306 is a wasteful number, since it uses less digits than its factorization.

55053306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 55053306 is about 7419.7915065047. The cubic root of 55053306 is about 380.4180671228.

The spelling of 55053306 in words is "fifty-five million, fifty-three thousand, three hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 33 42 46 63 66 69 77 99 121 126 138 154 157 161 198 207 231 242 253 314 322 363 414 462 471 483 506 693 726 759 847 942 966 1089 1099 1386 1413 1449 1518 1694 1727 1771 2178 2198 2277 2541 2783 2826 2898 3297 3454 3542 3611 4554 5082 5181 5313 5566 6594 7222 7623 8349 9891 10362 10626 10833 12089 15246 15543 15939 16698 18997 19481 19782 21666 24178 25047 25277 31086 31878 32499 36267 37994 38962 39721 50094 50554 56991 58443 64998 72534 75831 79442 108801 113982 116886 119163 132979 151662 170973 175329 217602 227493 238326 265958 278047 341946 350658 357489 398937 436931 454986 556094 714978 797874 834141 873862 1196811 1310793 1668282 2393622 2502423 2621586 3058517 3932379 5004846 6117034 7864758 9175551 18351102 27526653 55053306