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575055216 = 2432191012081
BaseRepresentation
bin100010010001101…
…010010101110000
31111002001211110100
4202101222111300
52134203231331
6133021232400
720151613551
oct4221522560
91432054410
10575055216
1127567054a
12140702700
13921a3878
1456532328
1535741ae6
hex2246a570

575055216 has 120 divisors (see below), whose sum is σ = 1711653840. Its totient is φ = 179712000.

The previous prime is 575055203. The next prime is 575055259. The reversal of 575055216 is 612550575.

It is a happy number.

575055216 is a `hidden beast` number, since 57 + 50 + 552 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275296 + ... + 277376.

It is an arithmetic number, because the mean of its divisors is an integer number (14263782).

Almost surely, 2575055216 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 575055216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855826920).

575055216 is an abundant number, since it is smaller than the sum of its proper divisors (1136598624).

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

575055216 is a wasteful number, since it uses less digits than its factorization.

575055216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 575055216 is about 23980.3089221136. The cubic root of 575055216 is about 831.5783659374.

The spelling of 575055216 in words is "five hundred seventy-five million, fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 101 114 144 152 171 202 228 303 304 342 404 456 606 684 808 909 912 1212 1368 1616 1818 1919 2081 2424 2736 3636 3838 4162 4848 5757 6243 7272 7676 8324 11514 12486 14544 15352 16648 17271 18729 23028 24972 30704 33296 34542 37458 39539 46056 49944 69084 74916 79078 92112 99888 118617 138168 149832 158156 210181 237234 276336 299664 316312 355851 420362 474468 630543 632624 711702 840724 948936 1261086 1423404 1681448 1891629 1897872 2522172 2846808 3362896 3783258 3993439 5044344 5693616 7566516 7986878 10088688 11980317 15133032 15973756 23960634 30266064 31947512 35940951 47921268 63895024 71881902 95842536 143763804 191685072 287527608 575055216