Search a number
-
+
550627968 = 27311612137
BaseRepresentation
bin100000110100011…
…110101010000000
31102101002210120110
4200310132222000
52111430043333
6130345511320
716434155232
oct4064365200
91371083513
10550627968
112628a6a40
121344a2540
138a100287
14531b4252
1533519063
hex20d1ea80

550627968 has 128 divisors (see below), whose sum is σ = 1622485440. Its totient is φ = 164044800.

The previous prime is 550627967. The next prime is 550628021. The reversal of 550627968 is 869726055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (550627967) 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 15 ways as a sum of consecutive naturals, for example, 256596 + ... + 258732.

Almost surely, 2550627968 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 550627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811242720).

550627968 is an abundant number, since it is smaller than the sum of its proper divisors (1071857472).

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

550627968 is a wasteful number, since it uses less digits than its factorization.

550627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 550627968 is about 23465.4633024792. The cubic root of 550627968 is about 819.6329747516.

The spelling of 550627968 in words is "five hundred fifty million, six hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 264 352 366 384 488 528 671 704 732 976 1056 1342 1408 1464 1952 2013 2112 2137 2684 2928 3904 4026 4224 4274 5368 5856 6411 7808 8052 8548 10736 11712 12822 16104 17096 21472 23424 23507 25644 32208 34192 42944 47014 51288 64416 68384 70521 85888 94028 102576 128832 130357 136768 141042 188056 205152 257664 260714 273536 282084 376112 391071 410304 521428 564168 752224 782142 820608 1042856 1128336 1433927 1504448 1564284 2085712 2256672 2867854 3008896 3128568 4171424 4301781 4513344 5735708 6257136 8342848 8603562 9026688 11471416 12514272 16685696 17207124 22942832 25028544 34414248 45885664 50057088 68828496 91771328 137656992 183542656 275313984 550627968