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55234746 = 23273179179
BaseRepresentation
bin1101001010110…
…1000010111010
310211221012211100
43102231002322
5103120002441
65251512230
71240326150
oct322550272
9124835740
1055234746
11291a6756
12165b8676
13b59bca8
14749b3d0
154cb0cb6
hex34ad0ba

55234746 has 96 divisors (see below), whose sum is σ = 143769600. Its totient is φ = 14994720.

The previous prime is 55234741. The next prime is 55234759. The reversal of 55234746 is 64743255.

55234746 is a `hidden beast` number, since 552 + 34 + 74 + 6 = 666.

55234746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55234746.

It is not an unprimeable number, because it can be changed into a prime (55234741) 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 47 ways as a sum of consecutive naturals, for example, 308485 + ... + 308663.

It is an arithmetic number, because the mean of its divisors is an integer number (1497600).

Almost surely, 255234746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55234746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71884800).

55234746 is an abundant number, since it is smaller than the sum of its proper divisors (88534854).

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

55234746 is a wasteful number, since it uses less digits than its factorization.

55234746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 301 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 55234746 is about 7432.0082077457. The cubic root of 55234746 is about 380.8355253457.

The spelling of 55234746 in words is "fifty-five million, two hundred thirty-four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 79 93 126 158 179 186 217 237 279 358 434 474 537 553 558 651 711 1074 1106 1253 1302 1422 1611 1659 1953 2449 2506 3222 3318 3759 3906 4898 4977 5549 7347 7518 9954 11098 11277 14141 14694 16647 17143 22041 22554 28282 33294 34286 38843 42423 44082 49941 51429 77686 84846 98987 99882 102858 116529 127269 154287 197974 233058 254538 296961 308574 349587 438371 593922 699174 876742 890883 1315113 1781766 2630226 3068597 3945339 6137194 7890678 9205791 18411582 27617373 55234746