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56200100 = 225211192689
BaseRepresentation
bin1101011001100…
…0101110100100
310220202021001012
43112120232210
5103341400400
65324321352
71251456455
oct326305644
9126667035
1056200100
11297a5a70
12169a3258
13b8494c8
14766d12c
154e01d35
hex3598ba4

56200100 has 72 divisors (see below), whose sum is σ = 140095200. Its totient is φ = 19353600.

The previous prime is 56200099. The next prime is 56200103. The reversal of 56200100 is 100265.

56200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56200103) 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 23 ways as a sum of consecutive naturals, for example, 19556 + ... + 22244.

Almost surely, 256200100 is an apocalyptic number.

56200100 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 56200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70047600).

56200100 is an abundant number, since it is smaller than the sum of its proper divisors (83895100).

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

56200100 is a wasteful number, since it uses less digits than its factorization.

56200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 56200100 is about 7496.6725952252. The cubic root of 56200100 is about 383.0413824083.

Adding to 56200100 its reverse (100265), we get a palindrome (56300365).

The spelling of 56200100 in words is "fifty-six million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 2689 4180 5225 5378 10450 10756 13445 20900 26890 29579 51091 53780 59158 67225 102182 118316 134450 147895 204364 255455 268900 295790 510910 562001 591580 739475 1021820 1124002 1277275 1478950 2248004 2554550 2810005 2957900 5109100 5620010 11240020 14050025 28100050 56200100