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575384368 = 2413103107251
BaseRepresentation
bin100010010010111…
…010101100110000
31111002200112222011
4202102322230300
52134244244433
6133032252304
720154454306
oct4222725460
91432615864
10575384368
11275875879
12140841094
139228a630
14565ba276
15357a93cd
hex224bab30

575384368 has 80 divisors (see below), whose sum is σ = 1228421376. Its totient is φ = 259488000.

The previous prime is 575384351. The next prime is 575384393. The reversal of 575384368 is 863483575.

It is an unprimeable number.

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, 2292243 + ... + 2292493.

Almost surely, 2575384368 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 575384368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614210688).

575384368 is an abundant number, since it is smaller than the sum of its proper divisors (653037008).

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

575384368 is a wasteful number, since it uses less digits than its factorization.

575384368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

The square root of 575384368 is about 23987.1709044647. The cubic root of 575384368 is about 831.7369961975.

The spelling of 575384368 in words is "five hundred seventy-five million, three hundred eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 103 104 107 206 208 214 251 412 428 502 824 856 1004 1339 1391 1648 1712 2008 2678 2782 3263 4016 5356 5564 6526 10712 11021 11128 13052 21424 22042 22256 25853 26104 26857 44084 51706 52208 53714 88168 103412 107428 143273 176336 206824 214856 286546 336089 349141 413648 429712 573092 672178 698282 1146184 1344356 1396564 2292368 2688712 2766271 2793128 5377424 5532542 5586256 11065084 22130168 35961523 44260336 71923046 143846092 287692184 575384368