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5534005200 = 243529747543
BaseRepresentation
bin1010010011101101…
…00011011111010000
3112021200012120222120
411021312203133100
542313201131300
62313044534240
7254065160643
oct51166433720
915250176876
105534005200
11238a890019
1210a53b1380
136a268b9b9
143a6d89a5a
15225c8a3a0
hex149da37d0

5534005200 has 120 divisors (see below), whose sum is σ = 17910395328. Its totient is φ = 1460490240.

The previous prime is 5534005199. The next prime is 5534005249. The reversal of 5534005200 is 25004355.

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 (24).

It is a congruent number.

It is an unprimeable number.

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, 92629 + ... + 140171.

Almost surely, 25534005200 is an apocalyptic number.

5534005200 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 5534005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8955197664).

5534005200 is an abundant number, since it is smaller than the sum of its proper divisors (12376390128).

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

5534005200 is a wasteful number, since it uses less digits than its factorization.

5534005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47661 (or 47650 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 5534005200 is about 74390.8946041113. The cubic root of 5534005200 is about 1768.8045808010.

Adding to 5534005200 its reverse (25004355), we get a palindrome (5559009555).

The spelling of 5534005200 in words is "five billion, five hundred thirty-four million, five 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 97 100 120 150 194 200 240 291 300 388 400 485 582 600 776 970 1164 1200 1455 1552 1940 2328 2425 2910 3880 4656 4850 5820 7275 7760 9700 11640 14550 19400 23280 29100 38800 47543 58200 95086 116400 142629 190172 237715 285258 380344 475430 570516 713145 760688 950860 1141032 1188575 1426290 1901720 2282064 2377150 2852580 3565725 3803440 4611671 4754300 5705160 7131450 9223342 9508600 11410320 13835013 14262900 18446684 19017200 23058355 27670026 28525800 36893368 46116710 55340052 57051600 69175065 73786736 92233420 110680104 115291775 138350130 184466840 221360208 230583550 276700260 345875325 368933680 461167100 553400520 691750650 922334200 1106801040 1383501300 1844668400 2767002600 5534005200