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54078192 = 243571987
BaseRepresentation
bin1100111001001…
…0101011110000
310202202110100000
43032102223300
5102321000232
65211030000
71224441240
oct316225360
9122673300
1054078192
1128586823
121613b300
13b28573c
147279b20
154b3327c
hex3392af0

54078192 has 120 divisors (see below), whose sum is σ = 179460736. Its totient is φ = 15443136.

The previous prime is 54078151. The next prime is 54078203. The reversal of 54078192 is 29187045.

54078192 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 (36).

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, 26223 + ... + 28209.

Almost surely, 254078192 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 54078192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89730368).

54078192 is an abundant number, since it is smaller than the sum of its proper divisors (125382544).

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

54078192 is a wasteful number, since it uses less digits than its factorization.

54078192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 54078192 is about 7353.7875955184. The cubic root of 54078192 is about 378.1586635512.

The spelling of 54078192 in words is "fifty-four million, seventy-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 1987 2268 3024 3402 3888 3974 4536 5961 6804 7948 9072 11922 13608 13909 15896 17883 23844 27216 27818 31792 35766 41727 47688 53649 55636 71532 83454 95376 107298 111272 125181 143064 160947 166908 214596 222544 250362 286128 321894 333816 375543 429192 482841 500724 643788 667632 751086 858384 965682 1001448 1126629 1287576 1502172 1931364 2002896 2253258 2575152 3004344 3379887 3862728 4506516 6008688 6759774 7725456 9013032 13519548 18026064 27039096 54078192