Search a number
-
+
551886820 = 225293725717
BaseRepresentation
bin100000111001010…
…001111111100100
31102110110202101121
4200321101333210
52112240334240
6130432503324
716450650322
oct4071217744
91373422347
10551886820
11263586811
121349aab44
138a451264
1453420d12
15336b704a
hex20e51fe4

551886820 has 48 divisors (see below), whose sum is σ = 1231377840. Its totient is φ = 207373824.

The previous prime is 551886779. The next prime is 551886833. The reversal of 551886820 is 28688155.

551886820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 25826724 + 526060096 = 5082^2 + 22936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8602 + ... + 34318.

It is an arithmetic number, because the mean of its divisors is an integer number (25653705).

Almost surely, 2551886820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551886820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615688920).

551886820 is an abundant number, since it is smaller than the sum of its proper divisors (679491020).

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

551886820 is a wasteful number, since it uses less digits than its factorization.

551886820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25792 (or 25790 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The square root of 551886820 is about 23492.2714951109. The cubic root of 551886820 is about 820.2571174667.

The spelling of 551886820 in words is "five hundred fifty-one million, eight hundred eighty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 4292 5365 10730 21460 25717 51434 102868 128585 257170 514340 745793 951529 1491586 1903058 2983172 3728965 3806116 4757645 7457930 9515290 14915860 19030580 27594341 55188682 110377364 137971705 275943410 551886820