Search a number
-
+
550429344 = 2534732909
BaseRepresentation
bin100000110011101…
…110001010100000
31102100201201010000
4200303232022200
52111402214334
6130341340000
716432400163
oct4063561240
91370651100
10550429344
11262780793
12134407600
138a060a4a
1453161ada
15334ca299
hex20cee2a0

550429344 has 120 divisors (see below), whose sum is σ = 1641536820. Its totient is φ = 180900864.

The previous prime is 550429343. The next prime is 550429351. The reversal of 550429344 is 443924055.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 519292944 + 31136400 = 22788^2 + 5580^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 550429299 and 550429308.

It is not an unprimeable number, because it can be changed into a prime (550429343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 187762 + ... + 190670.

Almost surely, 2550429344 is an apocalyptic number.

550429344 is a gapful number since it is divisible by the number (54) 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 550429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820768410).

550429344 is an abundant number, since it is smaller than the sum of its proper divisors (1091107476).

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

550429344 is a wasteful number, since it uses less digits than its factorization.

550429344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 550429344 is about 23461.2306582583. The cubic root of 550429344 is about 819.5344094961.

The spelling of 550429344 in words is "five hundred fifty million, four hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 288 292 324 432 438 584 648 657 864 876 1168 1296 1314 1752 1971 2336 2592 2628 2909 3504 3942 5256 5818 5913 7008 7884 8727 10512 11636 11826 15768 17454 21024 23272 23652 26181 31536 34908 46544 47304 52362 63072 69816 78543 93088 94608 104724 139632 157086 189216 209448 212357 235629 279264 314172 418896 424714 471258 628344 637071 837792 849428 942516 1256688 1274142 1698856 1885032 1911213 2513376 2548284 3397712 3770064 3822426 5096568 5733639 6795424 7540128 7644852 10193136 11467278 15289704 17200917 20386272 22934556 30579408 34401834 45869112 61158816 68803668 91738224 137607336 183476448 275214672 550429344