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552410000 = 2454371493
BaseRepresentation
bin100000111011010…
…001101110010000
31102111110100001122
4200323101232100
52112404110000
6130452021412
716455256532
oct4073215620
91374410048
10552410000
1126390389a
12135001868
138a5a542c
1453519852
153376c085
hex20ed1b90

552410000 has 100 divisors (see below), whose sum is σ = 1374506892. Its totient is φ = 214848000.

The previous prime is 552409927. The next prime is 552410003. The reversal of 552410000 is 14255.

It can be written as a sum of positive squares in 10 ways, for example, as 192321424 + 360088576 = 13868^2 + 18976^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (552410003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 369254 + ... + 370746.

Almost surely, 2552410000 is an apocalyptic number.

552410000 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 552410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687253446).

552410000 is an abundant number, since it is smaller than the sum of its proper divisors (822096892).

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

552410000 is a wasteful number, since it uses less digits than its factorization.

552410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 552410000 is about 23503.4040087814. The cubic root of 552410000 is about 820.5162325412.

Adding to 552410000 its reverse (14255), we get a palindrome (552424255).

The spelling of 552410000 in words is "five hundred fifty-two million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1480 1493 1850 2000 2500 2960 2986 3700 4625 5000 5972 7400 7465 9250 10000 11944 14800 14930 18500 23125 23888 29860 37000 37325 46250 55241 59720 74000 74650 92500 110482 119440 149300 185000 186625 220964 276205 298600 370000 373250 441928 552410 597200 746500 883856 933125 1104820 1381025 1493000 1866250 2209640 2762050 2986000 3732500 4419280 5524100 6905125 7465000 11048200 13810250 14930000 22096400 27620500 34525625 55241000 69051250 110482000 138102500 276205000 552410000