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5542725600 = 25325219311307
BaseRepresentation
bin1010010100101111…
…10100011111100000
3112022021121122010100
411022113310133200
542322414204400
62313555502400
7254232250566
oct51227643740
915267548110
105542725600
1123947a6865
1210a82b7a00
136a4422cb9
143a81b9a36
1522690e100
hex14a5f47e0

5542725600 has 432 divisors, whose sum is σ = 21253639680. Its totient is φ = 1354060800.

The previous prime is 5542725593. The next prime is 5542725607. The reversal of 5542725600 is 65272455.

5542725600 is a `hidden beast` number, since 5 + 5 + 4 + 27 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5542725593) and next prime (5542725607).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5542725607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4240147 + ... + 4241453.

It is an arithmetic number, because the mean of its divisors is an integer number (49198240).

Almost surely, 25542725600 is an apocalyptic number.

5542725600 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 5542725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10626819840).

5542725600 is an abundant number, since it is smaller than the sum of its proper divisors (15710914080).

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

5542725600 is a wasteful number, since it uses less digits than its factorization.

5542725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5542725600 is about 74449.4835442127. The cubic root of 5542725600 is about 1769.7331782033.

The spelling of 5542725600 in words is "five billion, five hundred forty-two million, seven hundred twenty-five thousand, six hundred".