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550150080 = 26351972909
BaseRepresentation
bin100000110010101…
…001111111000000
31102100012112000220
4200302221333000
52111314300310
6130331343040
716430125044
oct4062517700
91370175026
10550150080
112625aa997
121342b1a80
1389c938bc
14530cc024
1533472670
hex20ca9fc0

550150080 has 112 divisors (see below), whose sum is σ = 1756196640. Its totient is φ = 145911808.

The previous prime is 550150063. The next prime is 550150091. The reversal of 550150080 is 80051055.

It is a super-2 number, since 2×5501500802 = 605330221048012800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 550150080.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 187666 + ... + 190574.

Almost surely, 2550150080 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 550150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878098320).

550150080 is an abundant number, since it is smaller than the sum of its proper divisors (1206046560).

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

550150080 is a wasteful number, since it uses less digits than its factorization.

550150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 550150080 is about 23455.2782972192. The cubic root of 550150080 is about 819.3957872997.

The spelling of 550150080 in words is "five hundred fifty million, one hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 197 240 320 394 480 591 788 960 985 1182 1576 1970 2364 2909 2955 3152 3940 4728 5818 5910 6304 7880 8727 9456 11636 11820 12608 14545 15760 17454 18912 23272 23640 29090 31520 34908 37824 43635 46544 47280 58180 63040 69816 87270 93088 94560 116360 139632 174540 186176 189120 232720 279264 349080 465440 558528 573073 698160 930880 1146146 1396320 1719219 2292292 2792640 2865365 3438438 4584584 5730730 6876876 8596095 9169168 11461460 13753752 17192190 18338336 22922920 27507504 34384380 36676672 45845840 55015008 68768760 91691680 110030016 137537520 183383360 275075040 550150080