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5542100 = 2252157353
BaseRepresentation
bin10101001001000011010100
3101102120022222
4111021003110
52404321400
6314441512
765051504
oct25110324
911376288
105542100
113145953
121a33298
1311c0765
14a43a04
15747185
hex5490d4

5542100 has 36 divisors (see below), whose sum is σ = 12137244. Its totient is φ = 2196480.

The previous prime is 5542079. The next prime is 5542109. The reversal of 5542100 is 12455.

It can be written as a sum of positive squares in 6 ways, for example, as 470596 + 5071504 = 686^2 + 2252^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5542109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15524 + ... + 15876.

Almost surely, 25542100 is an apocalyptic number.

5542100 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 5542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068622).

5542100 is an abundant number, since it is smaller than the sum of its proper divisors (6595144).

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

5542100 is a wasteful number, since it uses less digits than its factorization.

5542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 5542100 is about 2354.1665191740. The cubic root of 5542100 is about 176.9666593229.

Adding to 5542100 its reverse (12455), we get a palindrome (5554555).

The spelling of 5542100 in words is "five million, five hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 353 628 706 785 1412 1570 1765 3140 3530 3925 7060 7850 8825 15700 17650 35300 55421 110842 221684 277105 554210 1108420 1385525 2771050 5542100