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550948950 = 232526120071
BaseRepresentation
bin100000110101101…
…101000001010110
31102101201002212200
4200311231001112
52112020331300
6130400425330
716436663106
oct4065550126
91371632780
10550948950
11262aa6112
12134618246
138a1b33c6
1453259206
153357e200
hex20d6d056

550948950 has 72 divisors (see below), whose sum is σ = 1504556976. Its totient is φ = 144504000.

The previous prime is 550948949. The next prime is 550948961. The reversal of 550948950 is 59849055.

550948950 is a `hidden beast` number, since 550 + 9 + 4 + 8 + 95 + 0 = 666.

It is a super-2 number, since 2×5509489502 = 607089491012205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 550948896 and 550948905.

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 35 ways as a sum of consecutive naturals, for example, 17415 + ... + 37485.

Almost surely, 2550948950 is an apocalyptic number.

550948950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 550948950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752278488).

550948950 is an abundant number, since it is smaller than the sum of its proper divisors (953608026).

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

550948950 is a wasteful number, since it uses less digits than its factorization.

550948950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20150 (or 20142 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 550948950 is about 23472.3017618639. The cubic root of 550948950 is about 819.7922089001.

The spelling of 550948950 in words is "five hundred fifty million, nine hundred forty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 150 183 225 305 366 450 549 610 915 1098 1525 1830 2745 3050 4575 5490 9150 13725 20071 27450 40142 60213 100355 120426 180639 200710 301065 361278 501775 602130 903195 1003550 1224331 1505325 1806390 2448662 3010650 3672993 4515975 6121655 7345986 9031950 11018979 12243310 18364965 22037958 30608275 36729930 55094895 61216550 91824825 110189790 183649650 275474475 550948950