Search a number
-
+
56332032 = 283411789
BaseRepresentation
bin1101011011100…
…0111100000000
310220222222000120
43112320330000
5103410111112
65331220240
71252546221
oct326707400
9126888016
1056332032
11298860a9
1216a47680
13b894583
1476a5248
154e2ae8c
hex35b8f00

56332032 has 72 divisors (see below), whose sum is σ = 153667920. Its totient is φ = 18309120.

The previous prime is 56332027. The next prime is 56332099. The reversal of 56332032 is 23023365.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 56331993 and 56332011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30594 + ... + 32382.

Almost surely, 256332032 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 56332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76833960).

56332032 is an abundant number, since it is smaller than the sum of its proper divisors (97335888).

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

56332032 is a wasteful number, since it uses less digits than its factorization.

56332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 56332032 is about 7505.4668076010. The cubic root of 56332032 is about 383.3408831951.

Adding to 56332032 its reverse (23023365), we get a palindrome (79355397).

The spelling of 56332032 in words is "fifty-six million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1789 1968 2624 3578 3936 5248 5367 7156 7872 10496 10734 14312 15744 21468 28624 31488 42936 57248 73349 85872 114496 146698 171744 220047 228992 293396 343488 440094 457984 586792 686976 880188 1173584 1373952 1760376 2347168 3520752 4694336 7041504 9388672 14083008 18777344 28166016 56332032