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55844040 = 23357193499
BaseRepresentation
bin1101010100000…
…1110011001000
310220002011121210
43111001303020
5103244002130
65312533120
71245444420
oct325016310
9126064553
1055844040
11295824aa
12168511a0
13b753415
1475b9480
154d815b0
hex3541cc8

55844040 has 128 divisors (see below), whose sum is σ = 201600000. Its totient is φ = 12089088.

The previous prime is 55844027. The next prime is 55844083. The reversal of 55844040 is 4044855.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55843989 and 55844007.

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 31 ways as a sum of consecutive naturals, for example, 14211 + ... + 17709.

It is an arithmetic number, because the mean of its divisors is an integer number (1575000).

Almost surely, 255844040 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 55844040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800000).

55844040 is an abundant number, since it is smaller than the sum of its proper divisors (145755960).

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

55844040 is a wasteful number, since it uses less digits than its factorization.

55844040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 55844040 is about 7472.8869923210. The cubic root of 55844040 is about 382.2307387732.

Adding to 55844040 its reverse (4044855), we get a palindrome (59888895).

The spelling of 55844040 in words is "fifty-five million, eight hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3499 3990 5320 6998 7980 10497 13996 15960 17495 20994 24493 27992 34990 41988 48986 52485 66481 69980 73479 83976 97972 104970 122465 132962 139960 146958 195944 199443 209940 244930 265924 293916 332405 367395 398886 419880 465367 489860 531848 587832 664810 734790 797772 930734 979720 997215 1329620 1396101 1469580 1595544 1861468 1994430 2326835 2659240 2792202 2939160 3722936 3988860 4653670 5584404 6980505 7977720 9307340 11168808 13961010 18614680 27922020 55844040