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56224576 = 2617311667
BaseRepresentation
bin1101011001111…
…0101101000000
310220210111121201
43112132231000
5103343141301
65325030544
71251621022
oct326365500
9126714551
1056224576
11298123a1
12169b5454
13b8576a5
147678012
154e09201
hex359eb40

56224576 has 56 divisors (see below), whose sum is σ = 122017536. Its totient is φ = 25589760.

The previous prime is 56224561. The next prime is 56224583. The reversal of 56224576 is 67542265.

56224576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562245762 = 6322405892759552, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 32895 + ... + 34561.

Almost surely, 256224576 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 56224576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61008768).

56224576 is an abundant number, since it is smaller than the sum of its proper divisors (65792960).

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

56224576 is a wasteful number, since it uses less digits than its factorization.

56224576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1717 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The square root of 56224576 is about 7498.3048751034. The cubic root of 56224576 is about 383.0969811241.

The spelling of 56224576 in words is "fifty-six million, two hundred twenty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 992 1054 1088 1667 1984 2108 3334 4216 6668 8432 13336 16864 26672 28339 33728 51677 53344 56678 103354 106688 113356 206708 226712 413416 453424 826832 878509 906848 1653664 1757018 1813696 3307328 3514036 7028072 14056144 28112288 56224576