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56046500 = 2253197569
BaseRepresentation
bin1101010111001…
…1001110100100
310220110110100022
43111303032210
5103321442000
65321134312
71250246606
oct325631644
9126413308
1056046500
1129700624
121692a398
13b7c4613
14762d176
154dc1585
hex35733a4

56046500 has 48 divisors (see below), whose sum is σ = 123243120. Its totient is φ = 22265600.

The previous prime is 56046491. The next prime is 56046509. The reversal of 56046500 is 564065.

It is an interprime number because it is at equal distance from previous prime (56046491) and next prime (56046509).

It can be written as a sum of positive squares in 8 ways, for example, as 11397376 + 44649124 = 3376^2 + 6682^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56046500.

It is not an unprimeable number, because it can be changed into a prime (56046509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98216 + ... + 98784.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 256046500 is an apocalyptic number.

56046500 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 56046500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61621560).

56046500 is an abundant number, since it is smaller than the sum of its proper divisors (67196620).

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

56046500 is a wasteful number, since it uses less digits than its factorization.

56046500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 56046500 is about 7486.4210407911. The cubic root of 56046500 is about 382.6921016627.

The spelling of 56046500 in words is "fifty-six million, forty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 197 250 394 500 569 788 985 1138 1970 2276 2845 3940 4925 5690 9850 11380 14225 19700 24625 28450 49250 56900 71125 98500 112093 142250 224186 284500 448372 560465 1120930 2241860 2802325 5604650 11209300 14011625 28023250 56046500