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5242100 = 2252193189
BaseRepresentation
bin10011111111110011110100
3100212022210212
4103333303310
52320221400
6304204552
762362043
oct23776364
910768725
105242100
112a60516
121909758
131117046
149a655a
156d8335
hex4ffcf4

5242100 has 72 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1900800.

The previous prime is 5242079. The next prime is 5242117. The reversal of 5242100 is 12425.

It is a super-2 number, since 2×52421002 = 54959224820000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58856 + ... + 58944.

It is an arithmetic number, because the mean of its divisors is an integer number (173600).

Almost surely, 25242100 is an apocalyptic number.

5242100 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 5242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

5242100 is an abundant number, since it is smaller than the sum of its proper divisors (7257100).

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

5242100 is a wasteful number, since it uses less digits than its factorization.

5242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 5242100 is about 2289.5632771339. The cubic root of 5242100 is about 173.7141119398.

Adding to 5242100 its reverse (12425), we get a palindrome (5254525).

The spelling of 5242100 in words is "five million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 89 95 100 124 155 178 190 310 356 380 445 475 589 620 775 890 950 1178 1550 1691 1780 1900 2225 2356 2759 2945 3100 3382 4450 5518 5890 6764 8455 8900 11036 11780 13795 14725 16910 27590 29450 33820 42275 52421 55180 58900 68975 84550 104842 137950 169100 209684 262105 275900 524210 1048420 1310525 2621050 5242100