Search a number
-
+
56987300 = 2252312593
BaseRepresentation
bin1101100101100…
…0111010100100
310222020020212202
43121120322210
5104042043200
65353234032
71261245506
oct331307244
9128206782
1056987300
112a193447
1217102918
13ba638c6
1477d5d76
15500a1d5
hex3658ea4

56987300 has 54 divisors (see below), whose sum is σ = 127995714. Its totient is φ = 22022400.

The previous prime is 56987299. The next prime is 56987309. The reversal of 56987300 is 378965.

56987300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5262436 + 51724864 = 2294^2 + 7192^2 .

It is a super-2 number, since 2×569873002 = 6495104722580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56987309) 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 17 ways as a sum of consecutive naturals, for example, 95804 + ... + 96396.

It is an arithmetic number, because the mean of its divisors is an integer number (2370291).

Almost surely, 256987300 is an apocalyptic number.

56987300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56987300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63997857).

56987300 is an abundant number, since it is smaller than the sum of its proper divisors (71008414).

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

56987300 is a wasteful number, since it uses less digits than its factorization.

56987300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 56987300 is about 7548.9933103693. The cubic root of 56987300 is about 384.8215285693.

The spelling of 56987300 in words is "fifty-six million, nine hundred eighty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 593 620 775 961 1186 1550 1922 2372 2965 3100 3844 4805 5930 9610 11860 14825 18383 19220 24025 29650 36766 48050 59300 73532 91915 96100 183830 367660 459575 569873 919150 1139746 1838300 2279492 2849365 5698730 11397460 14246825 28493650 56987300