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55805040 = 24325179433
BaseRepresentation
bin1101010011100…
…0010001110000
310220000012010100
43110320101300
5103241230130
65312032400
71245222624
oct324702160
9126005110
1055805040
1129556175
1216832700
13b73b745
1475a9184
154d74c60
hex3538470

55805040 has 120 divisors (see below), whose sum is σ = 188894160. Its totient is φ = 14764032.

The previous prime is 55805039. The next prime is 55805051. The reversal of 55805040 is 4050855.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×558050402 = 6228404978803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55804995 and 55805013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128664 + ... + 129096.

It is an arithmetic number, because the mean of its divisors is an integer number (1574118).

Almost surely, 255805040 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 55805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447080).

55805040 is an abundant number, since it is smaller than the sum of its proper divisors (133089120).

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

55805040 is a wasteful number, since it uses less digits than its factorization.

55805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55805040 is about 7470.2771032941. The cubic root of 55805040 is about 382.1417381065.

Adding to 55805040 its reverse (4050855), we get a palindrome (59855895).

The spelling of 55805040 in words is "fifty-five million, eight hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 179 180 240 358 360 433 537 716 720 866 895 1074 1299 1432 1611 1732 1790 2148 2165 2598 2685 2864 3222 3464 3580 3897 4296 4330 5196 5370 6444 6495 6928 7160 7794 8055 8592 8660 10392 10740 12888 12990 14320 15588 16110 17320 19485 20784 21480 25776 25980 31176 32220 34640 38970 42960 51960 62352 64440 77507 77940 103920 128880 155014 155880 232521 310028 311760 387535 465042 620056 697563 775070 930084 1162605 1240112 1395126 1550140 1860168 2325210 2790252 3100280 3487815 3720336 4650420 5580504 6200560 6975630 9300840 11161008 13951260 18601680 27902520 55805040