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56195100 = 223352131601
BaseRepresentation
bin1101011001011…
…1100000011100
310220202000012000
43112113200130
5103341220400
65324242300
71251436053
oct326274034
9126660160
1056195100
11297a2235
12169a0390
13b847150
14766b39a
154e00600
hex359781c

56195100 has 144 divisors (see below), whose sum is σ = 194675040. Its totient is φ = 13824000.

The previous prime is 56195099. The next prime is 56195101. The reversal of 56195100 is 159165.

56195100 is a `hidden beast` number, since 561 + 95 + 10 + 0 = 666.

56195100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56195099) and next prime (56195101).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56195101) 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 47 ways as a sum of consecutive naturals, for example, 34300 + ... + 35900.

It is an arithmetic number, because the mean of its divisors is an integer number (1351910).

Almost surely, 256195100 is an apocalyptic number.

56195100 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 56195100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97337520).

56195100 is an abundant number, since it is smaller than the sum of its proper divisors (138479940).

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

56195100 is a wasteful number, since it uses less digits than its factorization.

56195100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 56195100 is about 7496.3391065239. The cubic root of 56195100 is about 383.0300226200.

The spelling of 56195100 in words is "fifty-six million, one hundred ninety-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1601 1755 1950 2340 2700 2925 3202 3510 3900 4803 5850 6404 7020 8005 8775 9606 11700 14409 16010 17550 19212 20813 24015 28818 32020 35100 40025 41626 43227 48030 57636 62439 72045 80050 83252 86454 96060 104065 120075 124878 144090 160100 172908 187317 208130 216135 240150 249756 288180 312195 360225 374634 416260 432270 480300 520325 561951 624390 720450 749268 864540 936585 1040650 1080675 1123902 1248780 1440900 1560975 1873170 2081300 2161350 2247804 2809755 3121950 3746340 4322700 4682925 5619510 6243900 9365850 11239020 14048775 18731700 28097550 56195100