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550605520 = 24517616637
BaseRepresentation
bin100000110100011…
…001001011010000
31102101001122210001
4200310121023100
52111423334040
6130345215344
716434032623
oct4064311320
91371048701
10550605520
11262891093
12134491554
138a0c2caa
14531a9dba
153351259a
hex20d192d0

550605520 has 80 divisors (see below), whose sum is σ = 1377889488. Its totient is φ = 203857920.

The previous prime is 550605479. The next prime is 550605521. The reversal of 550605520 is 25506055.

550605520 is a nontrivial binomial coefficient, being equal to C(33185, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 153958464 + 396647056 = 12408^2 + 19916^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550605521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79642 + ... + 86278.

Almost surely, 2550605520 is an apocalyptic number.

550605520 is the 33184-th triangular number.

550605520 is the 11062-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550605520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688944744).

550605520 is an abundant number, since it is smaller than the sum of its proper divisors (827283968).

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

550605520 is a wasteful number, since it uses less digits than its factorization.

550605520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6722 counting only the distinct ones).

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

The square root of 550605520 is about 23464.9849776214. The cubic root of 550605520 is about 819.6218363350.

The spelling of 550605520 in words is "five hundred fifty million, six hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 61 68 80 85 122 136 170 244 272 305 340 488 610 680 976 1037 1220 1360 2074 2440 4148 4880 5185 6637 8296 10370 13274 16592 20740 26548 33185 41480 53096 66370 82960 106192 112829 132740 225658 265480 404857 451316 530960 564145 809714 902632 1128290 1619428 1805264 2024285 2256580 3238856 4048570 4513160 6477712 6882569 8097140 9026320 13765138 16194280 27530276 32388560 34412845 55060552 68825690 110121104 137651380 275302760 550605520