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575242304 = 26713432297
BaseRepresentation
bin100010010010011…
…000000001000000
31111002102100002112
4202102120001000
52134230223204
6133025234452
720153323160
oct4222300100
91432370075
10575242304
1127578906a
12140792a28
139223aa80
14565805a0
153577c26e
hex22498040

575242304 has 112 divisors (see below), whose sum is σ = 1438217088. Its totient is φ = 222179328.

The previous prime is 575242303. The next prime is 575242357. The reversal of 575242304 is 403242575.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×5752423042 = 661807416622456832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (575242303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249284 + ... + 251580.

It is an arithmetic number, because the mean of its divisors is an integer number (12841224).

Almost surely, 2575242304 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 575242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719108544).

575242304 is an abundant number, since it is smaller than the sum of its proper divisors (862974784).

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

575242304 is a wasteful number, since it uses less digits than its factorization.

575242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 575242304 is about 23984.2094720672. The cubic root of 575242304 is about 831.6685378374.

Adding to 575242304 its reverse (403242575), we get a palindrome (978484879).

The spelling of 575242304 in words is "five hundred seventy-five million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 56 64 86 91 104 112 172 182 208 224 301 344 364 416 448 559 602 688 728 832 1118 1204 1376 1456 2236 2297 2408 2752 2912 3913 4472 4594 4816 5824 7826 8944 9188 9632 15652 16079 17888 18376 19264 29861 31304 32158 35776 36752 59722 62608 64316 73504 98771 119444 125216 128632 147008 197542 209027 238888 250432 257264 395084 418054 477776 514528 691397 790168 836108 955552 1029056 1284023 1382794 1580336 1672216 1911104 2568046 2765588 3160672 3344432 5136092 5531176 6321344 6688864 8988161 10272184 11062352 13377728 17976322 20544368 22124704 35952644 41088736 44249408 71905288 82177472 143810576 287621152 575242304