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56570304 = 26373859
BaseRepresentation
bin1101011111001…
…1000111000000
310221110001212110
43113303013000
5103440222204
65340255320
71254561000
oct327630700
9127401773
1056570304
1129a2911a
1216b41540
13b948b6b
147728000
154e76889
hex35f31c0

56570304 has 112 divisors (see below), whose sum is σ = 174752000. Its totient is φ = 16144128.

The previous prime is 56570279. The next prime is 56570309. The reversal of 56570304 is 40307565.

56570304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56570309) by changing a digit.

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, 65427 + ... + 66285.

Almost surely, 256570304 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 56570304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87376000).

56570304 is an abundant number, since it is smaller than the sum of its proper divisors (118181696).

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

56570304 is an equidigital number, since it uses as much as digits as its factorization.

56570304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 56570304 is about 7521.3232878264. The cubic root of 56570304 is about 383.8806052423.

Adding to 56570304 its reverse (40307565), we get a palindrome (96877869).

The spelling of 56570304 in words is "fifty-six million, five hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 859 1029 1176 1344 1372 1568 1718 2058 2352 2577 2744 3136 3436 4116 4704 5154 5488 6013 6872 8232 9408 10308 10976 12026 13744 16464 18039 20616 21952 24052 27488 32928 36078 41232 42091 48104 54976 65856 72156 82464 84182 96208 126273 144312 164928 168364 192416 252546 288624 294637 336728 384832 505092 577248 589274 673456 883911 1010184 1154496 1178548 1346912 1767822 2020368 2357096 2693824 3535644 4040736 4714192 7071288 8081472 9428384 14142576 18856768 28285152 56570304