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54430040 = 2357349557
BaseRepresentation
bin1100111110100…
…0100101011000
310210102022222102
43033220211120
5102413230130
65222342532
71230435110
oct317504530
9123368872
1054430040
11287a7105
121628aa48
13b379932
14732c040
154ba2645
hex33e8958

54430040 has 64 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 18574848.

The previous prime is 54430031. The next prime is 54430043. The reversal of 54430040 is 4003445.

It is a happy number.

54430040 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 54429994 and 54430021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54430043) 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 15 ways as a sum of consecutive naturals, for example, 97442 + ... + 97998.

It is an arithmetic number, because the mean of its divisors is an integer number (2197125).

Almost surely, 254430040 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 54430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308000).

54430040 is an abundant number, since it is smaller than the sum of its proper divisors (86185960).

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

54430040 is a wasteful number, since it uses less digits than its factorization.

54430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 54430040 is about 7377.6717194519. The cubic root of 54430040 is about 378.9770269861.

Adding to 54430040 its reverse (4003445), we get a palindrome (58433485).

The spelling of 54430040 in words is "fifty-four million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 349 557 698 1114 1396 1745 2228 2443 2785 2792 3490 3899 4456 4886 5570 6980 7798 9772 11140 12215 13960 15596 19495 19544 22280 24430 31192 38990 48860 77980 97720 155960 194393 388786 777572 971965 1360751 1555144 1943930 2721502 3887860 5443004 6803755 7775720 10886008 13607510 27215020 54430040