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550006344 = 2332292411093
BaseRepresentation
bin100000110010000…
…110111001001000
31102022221012212100
4200302012321020
52111300200334
6130324313400
716425656016
oct4062067110
91368835770
10550006344
112625119a8
12134242860
1389c43354
14530918b6
1533444c99
hex20c86e48

550006344 has 96 divisors (see below), whose sum is σ = 1548775800. Its totient is φ = 176117760.

The previous prime is 550006339. The next prime is 550006351. The reversal of 550006344 is 443600055.

It can be written as a sum of positive squares in 4 ways, for example, as 546156900 + 3849444 = 23370^2 + 1962^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 502662 + ... + 503754.

Almost surely, 2550006344 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 550006344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774387900).

550006344 is an abundant number, since it is smaller than the sum of its proper divisors (998769456).

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

550006344 is a wasteful number, since it uses less digits than its factorization.

550006344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 550006344 is about 23452.2140532616. The cubic root of 550006344 is about 819.3244207547.

Adding to 550006344 its reverse (443600055), we get a palindrome (993606399).

The spelling of 550006344 in words is "five hundred fifty million, six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 241 261 348 482 522 696 723 964 1044 1093 1446 1928 2088 2169 2186 2892 3279 4338 4372 5784 6558 6989 8676 8744 9837 13116 13978 17352 19674 20967 26232 27956 31697 39348 41934 55912 62901 63394 78696 83868 95091 125802 126788 167736 190182 251604 253576 263413 285273 380364 503208 526826 570546 760728 790239 1053652 1141092 1580478 2107304 2282184 2370717 3160956 4741434 6321912 7638977 9482868 15277954 18965736 22916931 30555908 45833862 61111816 68750793 91667724 137501586 183335448 275003172 550006344