Search a number
-
+
55786068 = 223213199599
BaseRepresentation
bin1101010011001…
…1101001010100
310212222020002200
43110303221110
5103240123233
65311404500
71245113412
oct324635124
9125866080
1055786068
1129542998
1216823730
13b732c10
1475a22b2
154d6e313
hex3533a54

55786068 has 72 divisors (see below), whose sum is σ = 152880000. Its totient is φ = 17050176.

The previous prime is 55786067. The next prime is 55786097. The reversal of 55786068 is 86068755.

55786068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×557860682 = 6224170765801248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55786067) 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, 92833 + ... + 93431.

Almost surely, 255786068 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 55786068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440000).

55786068 is an abundant number, since it is smaller than the sum of its proper divisors (97093932).

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

55786068 is a wasteful number, since it uses less digits than its factorization.

55786068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 55786068 is about 7469.0071629367. The cubic root of 55786068 is about 382.0984277126.

The spelling of 55786068 in words is "fifty-five million, seven hundred eighty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 199 234 398 468 597 599 796 1194 1198 1791 1797 2388 2396 2587 3582 3594 5174 5391 7164 7188 7761 7787 10348 10782 15522 15574 21564 23283 23361 31044 31148 46566 46722 70083 93132 93444 119201 140166 238402 280332 357603 476804 715206 1072809 1430412 1549613 2145618 3099226 4291236 4648839 6198452 9297678 13946517 18595356 27893034 55786068