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550998016 = 2121741193
BaseRepresentation
bin100000110101111…
…001000000000000
31102101210121011221
4200311321000000
52112023414031
6130401444424
716440256132
oct4065710000
91371717157
10550998016
11263029a68
12134640714
138a1cc83a
145326d052
153358da11
hex20d79000

550998016 has 104 divisors (see below), whose sum is σ = 1201324824. Its totient is φ = 251658240.

The previous prime is 550997987. The next prime is 550998031. The reversal of 550998016 is 610899055.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8294400 + 542703616 = 2880^2 + 23296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2854816 + ... + 2855008.

Almost surely, 2550998016 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 550998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600662412).

550998016 is an abundant number, since it is smaller than the sum of its proper divisors (650326808).

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

550998016 is a wasteful number, since it uses less digits than its factorization.

550998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The square root of 550998016 is about 23473.3469279521. The cubic root of 550998016 is about 819.8165443250.

The spelling of 550998016 in words is "five hundred fifty million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 193 256 272 328 386 512 544 656 697 772 1024 1088 1312 1394 1544 2048 2176 2624 2788 3088 3281 4096 4352 5248 5576 6176 6562 7913 8704 10496 11152 12352 13124 15826 17408 20992 22304 24704 26248 31652 34816 41984 44608 49408 52496 63304 69632 83968 89216 98816 104992 126608 134521 167936 178432 197632 209984 253216 269042 356864 395264 419968 506432 538084 713728 790528 839936 1012864 1076168 1427456 1679872 2025728 2152336 2854912 3359744 4051456 4304672 6719488 8102912 8609344 13438976 16205824 17218688 32411648 34437376 68874752 137749504 275499008 550998016