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54206568 = 233213291997
BaseRepresentation
bin1100111011001…
…0000001101000
310202222222102200
43032302001220
5102334102233
65213500200
71225514433
oct316620150
9122888380
1054206568
1128664219
12161a1660
13b2cbcc0
1472b081a
154b5b313
hex33b2068

54206568 has 96 divisors (see below), whose sum is σ = 163636200. Its totient is φ = 16095744.

The previous prime is 54206567. The next prime is 54206587. The reversal of 54206568 is 86560245.

It can be written as a sum of positive squares in 4 ways, for example, as 21511044 + 32695524 = 4638^2 + 5718^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54206567) 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 23 ways as a sum of consecutive naturals, for example, 26146 + ... + 28142.

Almost surely, 254206568 is an apocalyptic number.

54206568 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54206568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81818100).

54206568 is an abundant number, since it is smaller than the sum of its proper divisors (109429632).

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

54206568 is a wasteful number, since it uses less digits than its factorization.

54206568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 54206568 is about 7362.5109847117. The cubic root of 54206568 is about 378.4576635153.

The spelling of 54206568 in words is "fifty-four million, two hundred six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 1997 2088 2262 3016 3393 3994 4524 5991 6786 7988 9048 11982 13572 15976 17973 23964 25961 27144 35946 47928 51922 57913 71892 77883 103844 115826 143784 155766 173739 207688 231652 233649 311532 347478 463304 467298 521217 623064 694956 752869 934596 1042434 1389912 1505738 1869192 2084868 2258607 3011476 4169736 4517214 6022952 6775821 9034428 13551642 18068856 27103284 54206568