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54887868 = 223672689
BaseRepresentation
bin1101000101100…
…0010110111100
310211021121000000
43101120112330
5103022402433
65240234300
71234352640
oct321302674
9124247000
1054887868
1128a8a082
121646b990
13b4aa139
14740ac20
154c43113
hex34585bc

54887868 has 84 divisors (see below), whose sum is σ = 164649520. Its totient is φ = 15676416.

The previous prime is 54887851. The next prime is 54887873. The reversal of 54887868 is 86878845.

54887868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 27 ways as a sum of consecutive naturals, for example, 19068 + ... + 21756.

Almost surely, 254887868 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 54887868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82324760).

54887868 is an abundant number, since it is smaller than the sum of its proper divisors (109761652).

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

54887868 is a wasteful number, since it uses less digits than its factorization.

54887868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2701 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 54887868 is about 7408.6346920333. The cubic root of 54887868 is about 380.0366262019.

It can be divided in two parts, 54887 and 868, that added together give a palindrome (55755).

The spelling of 54887868 in words is "fifty-four million, eight hundred eighty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2689 2916 3402 5103 5378 6804 8067 10206 10756 16134 18823 20412 24201 32268 37646 48402 56469 72603 75292 96804 112938 145206 169407 217809 225876 290412 338814 435618 508221 653427 677628 871236 1016442 1306854 1524663 1960281 2032884 2613708 3049326 3920562 4573989 6098652 7841124 9147978 13721967 18295956 27443934 54887868