Search a number
-
+
56865280 = 29597229
BaseRepresentation
bin1101100011101…
…1001000000000
310222000001111111
43120323020000
5104024142110
65350453104
71260226663
oct330731000
9128001444
1056865280
112a10a7aa
1217064194
13ba201c4
1477a36da
154ed3e8a
hex363b200

56865280 has 80 divisors (see below), whose sum is σ = 138350520. Its totient is φ = 22413312.

The previous prime is 56865251. The next prime is 56865283. The reversal of 56865280 is 8256865.

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 2930944 = 7344^2 + 1712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (56865283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248206 + ... + 248434.

Almost surely, 256865280 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 56865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69175260).

56865280 is an abundant number, since it is smaller than the sum of its proper divisors (81485240).

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

56865280 is an equidigital number, since it uses as much as digits as its factorization.

56865280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 56865280 is about 7540.9071072385. The cubic root of 56865280 is about 384.5466750697.

The spelling of 56865280 in words is "fifty-six million, eight hundred sixty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 229 256 320 388 458 485 512 640 776 916 970 1145 1280 1552 1832 1940 2290 2560 3104 3664 3880 4580 6208 7328 7760 9160 12416 14656 15520 18320 22213 24832 29312 31040 36640 44426 49664 58624 62080 73280 88852 111065 117248 124160 146560 177704 222130 248320 293120 355408 444260 586240 710816 888520 1421632 1777040 2843264 3554080 5686528 7108160 11373056 14216320 28432640 56865280