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550084608 = 21334829
BaseRepresentation
bin100000110010011…
…010000000000000
31102100002012020000
4200302122000000
52111310201413
6130330120000
716426433133
oct4062320000
91370065200
10550084608
11262565787
12134280000
1389c6cb68
14530b221a
153345d073
hex20c9a000

550084608 has 140 divisors (see below), whose sum is σ = 1645344690. Its totient is φ = 183140352.

The previous prime is 550084603. The next prime is 550084627. The reversal of 550084608 is 806480055.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 454201344 + 95883264 = 21312^2 + 9792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (550084603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663138 + ... + 663966.

Almost surely, 2550084608 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 550084608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822672345).

550084608 is an abundant number, since it is smaller than the sum of its proper divisors (1095260082).

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

550084608 is an frugal number, since it uses more digits than its factorization.

550084608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 550084608 is about 23453.8825783707. The cubic root of 550084608 is about 819.3632812550.

The spelling of 550084608 in words is "five hundred fifty million, eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 829 864 1024 1152 1296 1536 1658 1728 2048 2304 2487 2592 3072 3316 3456 4096 4608 4974 5184 6144 6632 6912 7461 8192 9216 9948 10368 12288 13264 13824 14922 18432 19896 20736 22383 24576 26528 27648 29844 36864 39792 41472 44766 53056 55296 59688 67149 73728 79584 82944 89532 106112 110592 119376 134298 159168 165888 179064 212224 221184 238752 268596 318336 331776 358128 424448 477504 537192 636672 663552 716256 848896 955008 1074384 1273344 1432512 1697792 1910016 2148768 2546688 2865024 3395584 3820032 4297536 5093376 5730048 6791168 7640064 8595072 10186752 11460096 15280128 17190144 20373504 22920192 30560256 34380288 45840384 61120512 68760576 91680768 137521152 183361536 275042304 550084608