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55310200 = 23521131811
BaseRepresentation
bin1101001011111…
…1011101111000
310212002001022221
43102333131320
5103124411300
65253253424
71241062141
oct322773570
9125061287
1055310200
1129248410
1216634274
13b5c743a
1474baac8
154cc831a
hex34bf778

55310200 has 96 divisors (see below), whose sum is σ = 144990720. Its totient is φ = 19440000.

The previous prime is 55310183. The next prime is 55310201. The reversal of 55310200 is 201355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55310201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67795 + ... + 68605.

It is an arithmetic number, because the mean of its divisors is an integer number (1510320).

Almost surely, 255310200 is an apocalyptic number.

55310200 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 55310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72495360).

55310200 is an abundant number, since it is smaller than the sum of its proper divisors (89680520).

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

55310200 is a wasteful number, since it uses less digits than its factorization.

55310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 55310200 is about 7437.0827614058. The cubic root of 55310200 is about 381.0088612190.

Adding to 55310200 its reverse (201355), we get a palindrome (55511555).

The spelling of 55310200 in words is "fifty-five million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 811 1100 1240 1364 1550 1622 1705 2200 2728 3100 3244 3410 4055 6200 6488 6820 8110 8525 8921 13640 16220 17050 17842 20275 25141 32440 34100 35684 40550 44605 50282 68200 71368 81100 89210 100564 125705 162200 178420 201128 223025 251410 276551 356840 446050 502820 553102 628525 892100 1005640 1106204 1257050 1382755 1784200 2212408 2514100 2765510 5028200 5531020 6913775 11062040 13827550 27655100 55310200