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56332332 = 22327317211
BaseRepresentation
bin1101011011100…
…1000000101100
310220222222102200
43112321000230
5103410113312
65331221500
71252550130
oct326710054
9126888380
1056332332
1129886351
1216a47890
13b894754
1476a53c0
154e2b0dc
hex35b902c

56332332 has 72 divisors (see below), whose sum is σ = 168010752. Its totient is φ = 15573600.

The previous prime is 56332307. The next prime is 56332343. The reversal of 56332332 is 23323365.

56332332 is a `hidden beast` number, since 5 + 633 + 23 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56332296 and 56332305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4207 + ... + 11417.

Almost surely, 256332332 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 56332332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84005376).

56332332 is an abundant number, since it is smaller than the sum of its proper divisors (111678420).

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

56332332 is a wasteful number, since it uses less digits than its factorization.

56332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259 (or 7254 counting only the distinct ones).

The product of its digits is 9720, while the sum is 27.

The square root of 56332332 is about 7505.4867930068. The cubic root of 56332332 is about 383.3415636964.

Adding to 56332332 its reverse (23323365), we get a palindrome (79655697).

The spelling of 56332332 in words is "fifty-six million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7211 7812 14422 21633 28844 43266 50477 64899 86532 100954 129798 151431 201908 223541 259596 302862 447082 454293 605724 670623 894164 908586 1341246 1564787 1817172 2011869 2682492 3129574 4023738 4694361 6259148 8047476 9388722 14083083 18777444 28166166 56332332