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5505267200 = 29522914831
BaseRepresentation
bin1010010000010001…
…11011011000000000
3112012200010112212012
411020020323120000
542233322022300
62310140552052
7253265666456
oct51010733000
915180115765
105505267200
112375641804
121097852628
13699739274
143a32289d6
152234b0435
hex14823b600

5505267200 has 120 divisors (see below), whose sum is σ = 14111016480. Its totient is φ = 2126028800.

The previous prime is 5505267191. The next prime is 5505267211. The reversal of 5505267200 is 27625055.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 363785 + ... + 378615.

It is an arithmetic number, because the mean of its divisors is an integer number (117591804).

Almost surely, 25505267200 is an apocalyptic number.

5505267200 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 5505267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055508240).

5505267200 is an abundant number, since it is smaller than the sum of its proper divisors (8605749280).

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

5505267200 is a wasteful number, since it uses less digits than its factorization.

5505267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14888 (or 14867 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 5505267200 is about 74197.4878280929. The cubic root of 5505267200 is about 1765.7374742666.

The spelling of 5505267200 in words is "five billion, five hundred five million, two hundred sixty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 200 232 256 290 320 400 464 512 580 640 725 800 928 1160 1280 1450 1600 1856 2320 2560 2900 3200 3712 4640 5800 6400 7424 9280 11600 12800 14831 14848 18560 23200 29662 37120 46400 59324 74155 74240 92800 118648 148310 185600 237296 296620 370775 371200 430099 474592 593240 741550 860198 949184 1186480 1483100 1720396 1898368 2150495 2372960 2966200 3440792 3796736 4300990 4745920 5932400 6881584 7593472 8601980 9491840 10752475 11864800 13763168 17203960 18983680 21504950 23729600 27526336 34407920 37967360 43009900 47459200 55052672 68815840 86019800 94918400 110105344 137631680 172039600 189836800 220210688 275263360 344079200 550526720 688158400 1101053440 1376316800 2752633600 5505267200