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54408340 = 22572361277
BaseRepresentation
bin1100111110001…
…1010010010100
310210101020012201
43033203102110
5102412031330
65222054244
71230314620
oct317432224
9123336181
1054408340
1128791878
121627a384
13b36caac
147324180
154b9aeca
hex33e3494

54408340 has 96 divisors (see below), whose sum is σ = 138991104. Its totient is φ = 17487360.

The previous prime is 54408337. The next prime is 54408377. The reversal of 54408340 is 4380445.

54408340 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 54408299 and 54408308.

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 31 ways as a sum of consecutive naturals, for example, 196282 + ... + 196558.

It is an arithmetic number, because the mean of its divisors is an integer number (1447824).

Almost surely, 254408340 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 54408340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69495552).

54408340 is an abundant number, since it is smaller than the sum of its proper divisors (84582764).

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

54408340 is a wasteful number, since it uses less digits than its factorization.

54408340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 54408340 is about 7376.2009191724. The cubic root of 54408340 is about 378.9266571621.

Adding to 54408340 its reverse (4380445), we get a palindrome (58788785).

The spelling of 54408340 in words is "fifty-four million, four hundred eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 61 70 92 115 122 140 161 230 244 277 305 322 427 460 554 610 644 805 854 1108 1220 1385 1403 1610 1708 1939 2135 2770 2806 3220 3878 4270 5540 5612 6371 7015 7756 8540 9695 9821 12742 14030 16897 19390 19642 25484 28060 31855 33794 38780 39284 44597 49105 63710 67588 84485 89194 98210 118279 127420 168970 178388 196420 222985 236558 337940 388631 445970 473116 591395 777262 891940 1182790 1554524 1943155 2365580 2720417 3886310 5440834 7772620 10881668 13602085 27204170 54408340