Search a number
-
+
56069216 = 2572310883
BaseRepresentation
bin1101010111100…
…0110001100000
310220111121111122
43111320301200
5103323203331
65321431412
71250403050
oct325706140
9126447448
1056069216
11297166a5
121693b568
13b801a68
147637560
154dc817b
hex3578c60

56069216 has 48 divisors (see below), whose sum is σ = 131652864. Its totient is φ = 22982784.

The previous prime is 56069207. The next prime is 56069219. The reversal of 56069216 is 61296065.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56069219) 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, 290 + ... + 10593.

It is an arithmetic number, because the mean of its divisors is an integer number (2742768).

Almost surely, 256069216 is an apocalyptic number.

56069216 is a gapful number since it is divisible by the number (56) 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 56069216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65826432).

56069216 is an abundant number, since it is smaller than the sum of its proper divisors (75583648).

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

56069216 is a wasteful number, since it uses less digits than its factorization.

56069216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10923 (or 10915 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 56069216 is about 7487.9380339316. The cubic root of 56069216 is about 382.7437971868.

The spelling of 56069216 in words is "fifty-six million, sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 10883 21766 43532 76181 87064 152362 174128 250309 304724 348256 500618 609448 1001236 1218896 1752163 2002472 2437792 3504326 4004944 7008652 8009888 14017304 28034608 56069216