Search a number
-
+
550149048 = 2332793112
BaseRepresentation
bin100000110010101…
…001101110111000
31102100012110121200
4200302221232320
52111314232143
6130331334200
716430122041
oct4062515670
91370173550
10550149048
112625aa139
121342b1360
1389c932a7
14530cb8c8
15334721d3
hex20ca9bb8

550149048 has 72 divisors (see below), whose sum is σ = 1513714800. Its totient is φ = 180479520.

The previous prime is 550149043. The next prime is 550149049. The reversal of 550149048 is 840941055.

550149048 is a `hidden beast` number, since 550 + 14 + 90 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550149043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1768813 + ... + 1769123.

Almost surely, 2550149048 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 550149048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756857400).

550149048 is an abundant number, since it is smaller than the sum of its proper divisors (963565752).

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

550149048 is a wasteful number, since it uses less digits than its factorization.

550149048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 550149048 is about 23455.2562978962. The cubic root of 550149048 is about 819.3952749444.

The spelling of 550149048 in words is "five hundred fifty million, one hundred forty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 311 316 474 622 632 711 933 948 1244 1422 1866 1896 2488 2799 2844 3732 5598 5688 7464 11196 22392 24569 49138 73707 96721 98276 147414 193442 196552 221121 290163 294828 386884 442242 580326 589656 773768 870489 884484 1160652 1740978 1768968 2321304 3481956 6963912 7640959 15281918 22922877 30563836 45845754 61127672 68768631 91691508 137537262 183383016 275074524 550149048