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55081200 = 24352197233
BaseRepresentation
bin1101001000011…
…1100011110000
310211122102012110
43102013203300
5103100044300
65244325320
71236116406
oct322074360
9124572173
1055081200
1129101359
1216543840
13b547135
14745b476
154c80550
hex34878f0

55081200 has 120 divisors (see below), whose sum is σ = 178100208. Its totient is φ = 14551040.

The previous prime is 55081199. The next prime is 55081211. The reversal of 55081200 is 218055.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236284 + ... + 236516.

Almost surely, 255081200 is an apocalyptic number.

55081200 is a gapful number since it is divisible by the number (50) 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 55081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89050104).

55081200 is an abundant number, since it is smaller than the sum of its proper divisors (123019008).

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

55081200 is a wasteful number, since it uses less digits than its factorization.

55081200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 55081200 is about 7421.6709708798. The cubic root of 55081200 is about 380.4823054079.

Adding to 55081200 its reverse (218055), we get a palindrome (55299255).

The spelling of 55081200 in words is "fifty-five million, eighty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 197 200 233 240 300 394 400 466 591 600 699 788 932 985 1165 1182 1200 1398 1576 1864 1970 2330 2364 2796 2955 3152 3495 3728 3940 4660 4728 4925 5592 5825 5910 6990 7880 9320 9456 9850 11184 11650 11820 13980 14775 15760 17475 18640 19700 23300 23640 27960 29550 34950 39400 45901 46600 47280 55920 59100 69900 78800 91802 93200 118200 137703 139800 183604 229505 236400 275406 279600 367208 459010 550812 688515 734416 918020 1101624 1147525 1377030 1836040 2203248 2295050 2754060 3442575 3672080 4590100 5508120 6885150 9180200 11016240 13770300 18360400 27540600 55081200