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553642128 = 243413171933
BaseRepresentation
bin100000111111111…
…110100010010000
31102120202221020000
4200333332202100
52113213022003
6130534250000
716501610664
oct4077764220
91376687200
10553642128
11264575586
121354b6900
138a9171c0
145375a8a4
15339121a3
hex20ffe890

553642128 has 200 divisors, whose sum is σ = 1828117368. Its totient is φ = 160247808.

The previous prime is 553642127. The next prime is 553642129. The reversal of 553642128 is 821246355.

553642128 is a `hidden beast` number, since 5 + 5 + 3 + 642 + 1 + 2 + 8 = 666.

553642128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (553642127) and next prime (553642129).

It can be written as a sum of positive squares in 4 ways, for example, as 99440784 + 454201344 = 9972^2 + 21312^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 553642092 and 553642101.

It is not an unprimeable number, because it can be changed into a prime (553642127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285450 + ... + 287382.

Almost surely, 2553642128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553642128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914058684).

553642128 is an abundant number, since it is smaller than the sum of its proper divisors (1274475240).

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

553642128 is a wasteful number, since it uses less digits than its factorization.

553642128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1968 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 553642128 is about 23529.6011015912. The cubic root of 553642128 is about 821.1258222204.

The spelling of 553642128 in words is "five hundred fifty-three million, six hundred forty-two thousand, one hundred twenty-eight".