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552205728 = 25333153389
BaseRepresentation
bin100000111010011…
…111110110100000
31102111001221212000
4200322133312200
52112331040403
6130443404000
716453446144
oct4072376640
91374057760
10552205728
11263784378
12134b23600
138a533469
14534a5224
153372b7a3
hex20e9fda0

552205728 has 192 divisors, whose sum is σ = 1698278400. Its totient is φ = 174320640.

The previous prime is 552205727. The next prime is 552205729. The reversal of 552205728 is 827502255.

552205728 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 (552205727) and next prime (552205729).

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 = 552205692 and 552205701.

It is not an unprimeable number, because it can be changed into a prime (552205727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419358 + ... + 1419746.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2552205728 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 552205728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

552205728 is an abundant number, since it is smaller than the sum of its proper divisors (1146072672).

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

552205728 is a wasteful number, since it uses less digits than its factorization.

552205728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 552205728 is about 23499.0580236741. The cubic root of 552205728 is about 820.4150823353.

The spelling of 552205728 in words is "five hundred fifty-two million, two hundred five thousand, seven hundred twenty-eight".