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55556200 = 2352725669
BaseRepresentation
bin1101001111101…
…1100001101000
310212112112210001
43103323201220
5103210244300
65302432344
71243135300
oct323734150
9125475701
1055556200
11293a6217
12167326b4
13b6823bb
147542600
154d2616a
hex34fb868

55556200 has 72 divisors (see below), whose sum is σ = 150283350. Its totient is φ = 19044480.

The previous prime is 55556191. The next prime is 55556227. The reversal of 55556200 is 265555.

It can be written as a sum of positive squares in 3 ways, for example, as 34082244 + 21473956 = 5838^2 + 4634^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6966 + ... + 12634.

Almost surely, 255556200 is an apocalyptic number.

55556200 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 55556200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75141675).

55556200 is an abundant number, since it is smaller than the sum of its proper divisors (94727150).

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

55556200 is a wasteful number, since it uses less digits than its factorization.

55556200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 55556200 is about 7453.6031555215. The cubic root of 55556200 is about 381.5728895882.

The spelling of 55556200 in words is "fifty-five million, five hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 5669 9800 11338 22676 28345 39683 45352 56690 79366 113380 141725 158732 198415 226760 277781 283450 317464 396830 555562 566900 793660 992075 1111124 1133800 1388905 1587320 1984150 2222248 2777810 3968300 5555620 6944525 7936600 11111240 13889050 27778100 55556200