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52501100 = 22521789347
BaseRepresentation
bin1100100001000…
…1101001101100
310122210022222012
43020101221230
5101420013400
65113140352
71205152301
oct310215154
9118708865
1052501100
11276a9943
12156ba6b8
13ab52952
146d890a8
154920d35
hex3211a6c

52501100 has 72 divisors (see below), whose sum is σ = 122335920. Its totient is φ = 19486720.

The previous prime is 52501081. The next prime is 52501103. The reversal of 52501100 is 110525.

It is not an unprimeable number, because it can be changed into a prime (52501103) 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 23 ways as a sum of consecutive naturals, for example, 151127 + ... + 151473.

It is an arithmetic number, because the mean of its divisors is an integer number (1699110).

Almost surely, 252501100 is an apocalyptic number.

52501100 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 52501100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61167960).

52501100 is an abundant number, since it is smaller than the sum of its proper divisors (69834820).

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

52501100 is a wasteful number, since it uses less digits than its factorization.

52501100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 52501100 is about 7245.7642799086. The cubic root of 52501100 is about 374.4462345044.

Adding to 52501100 its reverse (110525), we get a palindrome (52611625).

The spelling of 52501100 in words is "fifty-two million, five hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 89 100 170 178 340 347 356 425 445 694 850 890 1388 1513 1700 1735 1780 2225 3026 3470 4450 5899 6052 6940 7565 8675 8900 11798 15130 17350 23596 29495 30260 30883 34700 37825 58990 61766 75650 117980 123532 147475 151300 154415 294950 308830 525011 589900 617660 772075 1050022 1544150 2100044 2625055 3088300 5250110 10500220 13125275 26250550 52501100