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54079080 = 23351153773
BaseRepresentation
bin1100111001001…
…0111001101000
310202202111112220
43032102321220
5102321012310
65211034040
71224443646
oct316227150
9122674486
1054079080
1128587460
121613b920
13b285c73
14727a196
154b33670
hex3392e68

54079080 has 128 divisors (see below), whose sum is σ = 180558720. Its totient is φ = 12846080.

The previous prime is 54079063. The next prime is 54079087. The reversal of 54079080 is 8097045.

54079080 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 (33).

It is not an unprimeable number, because it can be changed into a prime (54079087) 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 31 ways as a sum of consecutive naturals, for example, 69574 + ... + 70346.

It is an arithmetic number, because the mean of its divisors is an integer number (1410615).

Almost surely, 254079080 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 54079080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90279360).

54079080 is an abundant number, since it is smaller than the sum of its proper divisors (126479640).

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

54079080 is a wasteful number, since it uses less digits than its factorization.

54079080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 54079080 is about 7353.8479723203. The cubic root of 54079080 is about 378.1607334124.

The spelling of 54079080 in words is "fifty-four million, seventy-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 773 795 1060 1166 1272 1320 1546 1590 1749 2120 2319 2332 2915 3092 3180 3498 3865 4638 4664 5830 6184 6360 6996 7730 8503 8745 9276 11595 11660 13992 15460 17006 17490 18552 23190 23320 25509 30920 34012 34980 40969 42515 46380 51018 68024 69960 81938 85030 92760 102036 122907 127545 163876 170060 204072 204845 245814 255090 327752 340120 409690 450659 491628 510180 614535 819380 901318 983256 1020360 1229070 1351977 1638760 1802636 2253295 2458140 2703954 3605272 4506590 4916280 5407908 6759885 9013180 10815816 13519770 18026360 27039540 54079080