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550384164 = 22321141109311
BaseRepresentation
bin100000110011100…
…011001000100100
31102100122102010200
4200303203020210
52111344243124
6130340350500
716432121361
oct4063431044
91370572120
10550384164
1126274a850
121343a5430
138a046305
145314d468
15334bbbc9
hex20ce3224

550384164 has 144 divisors (see below), whose sum is σ = 1574052480. Its totient is φ = 160704000.

The previous prime is 550384117. The next prime is 550384169. The reversal of 550384164 is 461483055.

It is a happy number.

550384164 is a `hidden beast` number, since 550 + 3 + 8 + 41 + 64 = 666.

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 (550384169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1769569 + ... + 1769879.

It is an arithmetic number, because the mean of its divisors is an integer number (10930920).

Almost surely, 2550384164 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 550384164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787026240).

550384164 is an abundant number, since it is smaller than the sum of its proper divisors (1023668316).

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

550384164 is a wasteful number, since it uses less digits than its factorization.

550384164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 550384164 is about 23460.2677734079. The cubic root of 550384164 is about 819.5119860443.

The spelling of 550384164 in words is "five hundred fifty million, three hundred eighty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 109 123 132 164 198 218 246 311 327 369 396 436 451 492 622 654 738 902 933 981 1199 1244 1308 1353 1476 1804 1866 1962 2398 2706 2799 3421 3597 3732 3924 4059 4469 4796 5412 5598 6842 7194 8118 8938 10263 10791 11196 12751 13407 13684 14388 16236 17876 20526 21582 25502 26814 30789 33899 38253 40221 41052 43164 49159 51004 53628 61578 67798 76506 80442 98318 101697 114759 123156 135596 140261 147477 153012 160884 196636 203394 229518 280522 294954 305091 372889 406788 420783 442431 459036 561044 589908 610182 745778 841566 884862 1118667 1220364 1262349 1389859 1491556 1683132 1769724 2237334 2524698 2779718 3356001 4169577 4474668 5049396 5559436 6712002 8339154 12508731 13424004 15288449 16678308 25017462 30576898 45865347 50034924 61153796 91730694 137596041 183461388 275192082 550384164