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550212072 = 233172233449
BaseRepresentation
bin100000110010111…
…001000111101000
31102100022200001220
4200302321013220
52111323241242
6130332542040
716430503554
oct4062710750
91370280056
10550212072
11262642523
12134321920
1389cb5b97
1453106864
1533485bec
hex20cb91e8

550212072 has 96 divisors (see below), whose sum is σ = 1525176000. Its totient is φ = 165062656.

The previous prime is 550212067. The next prime is 550212073. The reversal of 550212072 is 270212055.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (550212073) 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 23 ways as a sum of consecutive naturals, for example, 157804 + ... + 161252.

It is an arithmetic number, because the mean of its divisors is an integer number (15887250).

Almost surely, 2550212072 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 550212072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762588000).

550212072 is an abundant number, since it is smaller than the sum of its proper divisors (974963928).

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

550212072 is a wasteful number, since it uses less digits than its factorization.

550212072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 550212072 is about 23456.5997535875. The cubic root of 550212072 is about 819.4265631902.

The spelling of 550212072 in words is "five hundred fifty million, two hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 289 391 408 552 578 782 867 1156 1173 1564 1734 2312 2346 3128 3449 3468 4692 6647 6898 6936 9384 10347 13294 13796 19941 20694 26588 27592 39882 41388 53176 58633 79327 79764 82776 117266 158654 159528 175899 234532 237981 317308 351798 469064 475962 634616 703596 951924 996761 1348559 1407192 1903848 1993522 2697118 2990283 3987044 4045677 5394236 5980566 7974088 8091354 10788472 11961132 16182708 22925503 23922264 32365416 45851006 68776509 91702012 137553018 183404024 275106036 550212072