Search a number
-
+
56206000 = 2453157179
BaseRepresentation
bin1101011001101…
…0001010110000
310220202120010201
43112122022300
5103342043000
65324404544
71251512614
oct326321260
9126676121
1056206000
11297aa444
12169a6754
13b84c0b6
147671344
154e0396a
hex359a2b0

56206000 has 80 divisors (see below), whose sum is σ = 137535840. Its totient is φ = 22214400.

The previous prime is 56205991. The next prime is 56206013. The reversal of 56206000 is 60265.

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

It is a super-2 number, since 2×562060002 = 6318228872000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313911 + ... + 314089.

It is an arithmetic number, because the mean of its divisors is an integer number (1719198).

Almost surely, 256206000 is an apocalyptic number.

56206000 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 56206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68767920).

56206000 is an abundant number, since it is smaller than the sum of its proper divisors (81329840).

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

56206000 is a wasteful number, since it uses less digits than its factorization.

56206000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 56206000 is about 7497.0660928126. The cubic root of 56206000 is about 383.0547860919.

Adding to 56206000 its reverse (60265), we get a palindrome (56266265).

The spelling of 56206000 in words is "fifty-six million, two hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 179 200 250 314 358 400 500 628 716 785 895 1000 1256 1432 1570 1790 2000 2512 2864 3140 3580 3925 4475 6280 7160 7850 8950 12560 14320 15700 17900 19625 22375 28103 31400 35800 39250 44750 56206 62800 71600 78500 89500 112412 140515 157000 179000 224824 281030 314000 358000 449648 562060 702575 1124120 1405150 2248240 2810300 3512875 5620600 7025750 11241200 14051500 28103000 56206000