[go: up one dir, main page]

Search a number
-
+
56009312 = 2531131431
BaseRepresentation
bin1101010110101…
…0001001100000
310220101120022222
43111222021200
5103314244222
65320250212
71250033312
oct325521140
9126346288
1056009312
1129685697
1216910968
13b7b0708
14761d7b2
154db5542
hex356a260

56009312 has 48 divisors (see below), whose sum is σ = 114960384. Its totient is φ = 26832000.

The previous prime is 56009311. The next prime is 56009329. The reversal of 56009312 is 21390065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56009311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129737 + ... + 130167.

It is an arithmetic number, because the mean of its divisors is an integer number (2395008).

Almost surely, 256009312 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 56009312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57480192).

56009312 is an abundant number, since it is smaller than the sum of its proper divisors (58951072).

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

56009312 is a wasteful number, since it uses less digits than its factorization.

56009312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 56009312 is about 7483.9369318561. The cubic root of 56009312 is about 382.6074415877.

Adding to 56009312 its reverse (21390065), we get a palindrome (77399377).

The spelling of 56009312 in words is "fifty-six million, nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 131 248 262 431 496 524 862 992 1048 1724 2096 3448 4061 4192 6896 8122 13361 13792 16244 26722 32488 53444 56461 64976 106888 112922 129952 213776 225844 427552 451688 903376 1750291 1806752 3500582 7001164 14002328 28004656 56009312