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55954962 = 234731953
BaseRepresentation
bin1101010101110…
…0111000010010
310220021210210000
43111130320102
5103311024322
65315150430
71246416000
oct325347022
9126253700
1055954962
1129648878
12168a5416
13b791a5b
147607a70
154da43ac
hex355ce12

55954962 has 160 divisors (see below), whose sum is σ = 156816000. Its totient is φ = 14859936.

The previous prime is 55954931. The next prime is 55954963. The reversal of 55954962 is 26945955.

It is a happy number.

55954962 is a `hidden beast` number, since 559 + 5 + 4 + 96 + 2 = 666.

55954962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55954963) 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 79 ways as a sum of consecutive naturals, for example, 1055728 + ... + 1055780.

It is an arithmetic number, because the mean of its divisors is an integer number (980100).

Almost surely, 255954962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55954962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78408000).

55954962 is an abundant number, since it is smaller than the sum of its proper divisors (100861038).

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

55954962 is a wasteful number, since it uses less digits than its factorization.

55954962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 55954962 is about 7480.3049403082. The cubic root of 55954962 is about 382.4836440526.

The spelling of 55954962 in words is "fifty-five million, nine hundred fifty-four thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 53 54 57 63 81 98 106 114 126 133 147 159 162 171 189 266 294 318 342 343 371 378 399 441 477 513 567 686 742 798 882 931 954 1007 1026 1029 1113 1134 1197 1323 1431 1539 1862 2014 2058 2226 2394 2597 2646 2793 2862 3021 3078 3087 3339 3591 3969 4293 5194 5586 6042 6174 6517 6678 7049 7182 7791 7938 8379 8586 9063 9261 10017 10773 13034 14098 15582 16758 18126 18179 18522 19551 20034 21147 21546 23373 25137 27189 27783 30051 36358 39102 42294 46746 49343 50274 54378 54537 55566 58653 60102 63441 70119 75411 81567 98686 109074 117306 126882 140238 148029 150822 163134 163611 175959 190323 210357 296058 327222 345401 351918 380646 420714 444087 490833 527877 570969 690802 888174 981666 1036203 1055754 1141938 1332261 1472499 2072406 2664522 2944998 3108609 3996783 6217218 7993566 9325827 18651654 27977481 55954962