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55678128 = 24311176203
BaseRepresentation
bin1101010001100…
…1010010110000
310212202202000220
43110121102300
5103223200003
65305213040
71244153622
oct324312260
9125682026
1055678128
1129479890
1216791180
13b6c5a4c
147574c12
154d4c353
hex35194b0

55678128 has 80 divisors (see below), whose sum is σ = 166167936. Its totient is φ = 15877120.

The previous prime is 55678121. The next prime is 55678141. The reversal of 55678128 is 82187655.

It is a self number, because there is not a number n which added to its sum of digits gives 55678128.

It is not an unprimeable number, because it can be changed into a prime (55678121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5875 + ... + 12077.

Almost surely, 255678128 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 55678128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83083968).

55678128 is an abundant number, since it is smaller than the sum of its proper divisors (110489808).

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

55678128 is a wasteful number, since it uses less digits than its factorization.

55678128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6236 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 55678128 is about 7461.7778042501. Note that the first 3 decimals coincide. The cubic root of 55678128 is about 381.8518289045.

It can be divided in two parts, 5567 and 8128, that added together give a triangular number (13695 = T165).

The spelling of 55678128 in words is "fifty-five million, six hundred seventy-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 6203 8976 12406 18609 24812 37218 49624 68233 74436 99248 105451 136466 148872 204699 210902 272932 297744 316353 409398 421804 545864 632706 818796 843608 1091728 1159961 1265412 1637592 1687216 2319922 2530824 3275184 3479883 4639844 5061648 6959766 9279688 13919532 18559376 27839064 55678128