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20048200 = 2352591699
BaseRepresentation
bin100110001111…
…0100101001000
31101201112221221
41030132211020
520113020300
61553411424
7332256364
oct114364510
941645857
1020048200
1110353567
126869b74
1341cc353
14293c2a4
151b6031a
hex131e948

20048200 has 48 divisors (see below), whose sum is σ = 47430000. Its totient is φ = 7878720.

The previous prime is 20048177. The next prime is 20048207. The reversal of 20048200 is 284002.

It is not an unprimeable number, because it can be changed into a prime (20048207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10951 + ... + 12649.

It is an arithmetic number, because the mean of its divisors is an integer number (988125).

Almost surely, 220048200 is an apocalyptic number.

20048200 is a gapful number since it is divisible by the number (20) 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 20048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23715000).

20048200 is an abundant number, since it is smaller than the sum of its proper divisors (27381800).

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

20048200 is a wasteful number, since it uses less digits than its factorization.

20048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 20048200 is about 4477.5216359053. The cubic root of 20048200 is about 271.6596449354.

It can be divided in two parts, 200 and 48200, that added together give a square (48400 = 2202).

The spelling of 20048200 in words is "twenty million, forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 1699 2360 2950 3398 5900 6796 8495 11800 13592 16990 33980 42475 67960 84950 100241 169900 200482 339800 400964 501205 801928 1002410 2004820 2506025 4009640 5012050 10024100 20048200