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550331064 = 23337932251
BaseRepresentation
bin100000110011010…
…110001010111000
31102100112201022000
4200303112022320
52111341043224
6130335301000
716431510513
oct4063261270
91370481260
10550331064
11262713968
1213437a760
138a0280aa
1453137d7a
15334ab0c9
hex20cd62b8

550331064 has 64 divisors (see below), whose sum is σ = 1548096000. Its totient is φ = 181116000.

The previous prime is 550331063. The next prime is 550331077. The reversal of 550331064 is 460133055.

550331064 is a `hidden beast` number, since 550 + 3 + 3 + 106 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550331063) by changing a digit.

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, 939 + ... + 33189.

It is an arithmetic number, because the mean of its divisors is an integer number (24189000).

Almost surely, 2550331064 is an apocalyptic number.

550331064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550331064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774048000).

550331064 is an abundant number, since it is smaller than the sum of its proper divisors (997764936).

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

550331064 is a wasteful number, since it uses less digits than its factorization.

550331064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32345 (or 32335 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 550331064 is about 23459.1360454728. The cubic root of 550331064 is about 819.4856302193.

The spelling of 550331064 in words is "five hundred fifty million, three hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1422 1896 2133 2844 4266 5688 8532 17064 32251 64502 96753 129004 193506 258008 290259 387012 580518 774024 870777 1161036 1741554 2322072 2547829 3483108 5095658 6966216 7643487 10191316 15286974 20382632 22930461 30573948 45860922 61147896 68791383 91721844 137582766 183443688 275165532 550331064