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54767268 = 223217109821
BaseRepresentation
bin1101000011101…
…0111010100100
310211001110120100
43100322322210
5103010023033
65233504100
71233341223
oct320727244
9124043510
1054767268
1128a07506
1216412030
13b46728a
1473b8cba
154c1c513
hex343aea4

54767268 has 72 divisors (see below), whose sum is σ = 148107960. Its totient is φ = 17003520.

The previous prime is 54767249. The next prime is 54767287. The reversal of 54767268 is 86276745.

54767268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54767249) and next prime (54767287).

It can be written as a sum of positive squares in 4 ways, for example, as 13704804 + 41062464 = 3702^2 + 6408^2 .

It is a congruent number.

It is an unprimeable number.

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, 66298 + ... + 67118.

It is an arithmetic number, because the mean of its divisors is an integer number (2057055).

Almost surely, 254767268 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 54767268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74053980).

54767268 is an abundant number, since it is smaller than the sum of its proper divisors (93340692).

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

54767268 is a wasteful number, since it uses less digits than its factorization.

54767268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 952 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 54767268 is about 7400.4910647875. The cubic root of 54767268 is about 379.7580824023.

The spelling of 54767268 in words is "fifty-four million, seven hundred sixty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 109 153 204 218 306 327 436 612 654 821 981 1308 1642 1853 1962 2463 3284 3706 3924 4926 5559 7389 7412 9852 11118 13957 14778 16677 22236 27914 29556 33354 41871 55828 66708 83742 89489 125613 167484 178978 251226 268467 357956 502452 536934 805401 1073868 1521313 1610802 3042626 3221604 4563939 6085252 9127878 13691817 18255756 27383634 54767268