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54020844 = 2235149373
BaseRepresentation
bin1100111000010…
…0101011101100
310202122112200000
43032010223230
5102312131334
65205504300
71224112113
oct316045354
9122575600
1054020844
1128547729
1216112090
13b2655c7
147262c7a
154b21299
hex3384aec

54020844 has 72 divisors (see below), whose sum is σ = 142942800. Its totient is φ = 17838144.

The previous prime is 54020839. The next prime is 54020867. The reversal of 54020844 is 44802045.

54020844 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 (27).

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, 144642 + ... + 145014.

Almost surely, 254020844 is an apocalyptic number.

54020844 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54020844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71471400).

54020844 is an abundant number, since it is smaller than the sum of its proper divisors (88921956).

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

54020844 is a wasteful number, since it uses less digits than its factorization.

54020844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 54020844 is about 7349.8873460754. The cubic root of 54020844 is about 378.0249416649.

Adding to 54020844 its reverse (44802045), we get a palindrome (98822889).

The spelling of 54020844 in words is "fifty-four million, twenty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 243 298 324 373 447 486 596 746 894 972 1119 1341 1492 1788 2238 2682 3357 4023 4476 5364 6714 8046 10071 12069 13428 16092 20142 24138 30213 36207 40284 48276 55577 60426 72414 90639 111154 120852 144828 166731 181278 222308 333462 362556 500193 666924 1000386 1500579 2000772 3001158 4501737 6002316 9003474 13505211 18006948 27010422 54020844