Search a number
-
+
55423440 = 243552851
BaseRepresentation
bin1101001101101…
…1000111010000
310212021210200000
43103123013100
5103142022230
65255530000
71242043242
oct323330720
9125253600
1055423440
11293154a6
1216689900
13b636b47
14750a092
154cebb60
hex34db1d0

55423440 has 120 divisors (see below), whose sum is σ = 193091808. Its totient is φ = 14774400.

The previous prime is 55423439. The next prime is 55423453. The reversal of 55423440 is 4432455.

55423440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 18015 + ... + 20865.

Almost surely, 255423440 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 55423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96545904).

55423440 is an abundant number, since it is smaller than the sum of its proper divisors (137668368).

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

55423440 is a wasteful number, since it uses less digits than its factorization.

55423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 55423440 is about 7444.6920688501. The cubic root of 55423440 is about 381.2687049857.

Adding to 55423440 its reverse (4432455), we get a palindrome (59855895).

The spelling of 55423440 in words is "fifty-five million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 2851 3240 3888 4860 5702 6480 8553 9720 11404 14255 17106 19440 22808 25659 28510 34212 42765 45616 51318 57020 68424 76977 85530 102636 114040 128295 136848 153954 171060 205272 228080 230931 256590 307908 342120 384885 410544 461862 513180 615816 684240 692793 769770 923724 1026360 1154655 1231632 1385586 1539540 1847448 2052720 2309310 2771172 3079080 3463965 3694896 4618620 5542344 6158160 6927930 9237240 11084688 13855860 18474480 27711720 55423440