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54282984 = 23372311489
BaseRepresentation
bin1100111100010…
…0101011101000
310210010212020220
43033010223220
5102344023414
65215250040
71226253300
oct317045350
9123125226
1054282984
1128706678
1216219920
13b327a12
1472d0600
154b73ca9
hex33c4ae8

54282984 has 96 divisors (see below), whose sum is σ = 163065600. Its totient is φ = 14999040.

The previous prime is 54282961. The next prime is 54283027. The reversal of 54282984 is 48928245.

54282984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 35712 + ... + 37200.

It is an arithmetic number, because the mean of its divisors is an integer number (1698600).

Almost surely, 254282984 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 54282984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81532800).

54282984 is an abundant number, since it is smaller than the sum of its proper divisors (108782616).

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

54282984 is a wasteful number, since it uses less digits than its factorization.

54282984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1532 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 54282984 is about 7367.6986909075. The cubic root of 54282984 is about 378.6354195986.

The spelling of 54282984 in words is "fifty-four million, two hundred eighty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 372 392 434 588 651 744 868 1176 1302 1489 1519 1736 2604 2978 3038 4467 4557 5208 5956 6076 8934 9114 10423 11912 12152 17868 18228 20846 31269 35736 36456 41692 46159 62538 72961 83384 92318 125076 138477 145922 184636 218883 250152 276954 291844 323113 369272 437766 553908 583688 646226 875532 969339 1107816 1292452 1751064 1938678 2261791 2584904 3877356 4523582 6785373 7754712 9047164 13570746 18094328 27141492 54282984