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550957344 = 25374119997
BaseRepresentation
bin100000110101101…
…111000100100000
31102101201112101120
4200311233010200
52112021113334
6130400532240
716440026430
oct4065570440
91371645346
10550957344
11263001453
12134621080
138a1b7182
145325c2c0
1533581949
hex20d6f120

550957344 has 96 divisors (see below), whose sum is σ = 1693270656. Its totient is φ = 153569280.

The previous prime is 550957339. The next prime is 550957361. The reversal of 550957344 is 443759055.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 550957296 and 550957305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17554 + ... + 37550.

It is an arithmetic number, because the mean of its divisors is an integer number (17638236).

Almost surely, 2550957344 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 550957344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846635328).

550957344 is an abundant number, since it is smaller than the sum of its proper divisors (1142313312).

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

550957344 is a wasteful number, since it uses less digits than its factorization.

550957344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20058 (or 20050 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 550957344 is about 23472.4805676775. The cubic root of 550957344 is about 819.7963722022.

The spelling of 550957344 in words is "five hundred fifty million, nine hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 9184 13776 19997 27552 39994 59991 79988 119982 139979 159976 239964 279958 319952 419937 479928 559916 639904 819877 839874 959856 1119832 1639754 1679748 1919712 2239664 2459631 3279508 3359496 4479328 4919262 5739139 6559016 6718992 9838524 11478278 13118032 13437984 17217417 19677048 22956556 26236064 34434834 39354096 45913112 68869668 78708192 91826224 137739336 183652448 275478672 550957344