Search a number
-
+
553128480 = 25335612099
BaseRepresentation
bin100000111110000…
…001001000100000
31102112210211122000
4200332001020200
52113100102410
6130515244000
716464341322
oct4076011040
91375724560
10553128480
11264254683
121352a9600
138a797478
1453665612
153385edc0
hex20f81220

553128480 has 192 divisors, whose sum is σ = 1968624000. Its totient is φ = 145013760.

The previous prime is 553128469. The next prime is 553128487. The reversal of 553128480 is 84821355.

It is a happy number.

553128480 is a `hidden beast` number, since 5 + 53 + 128 + 480 = 666.

It is a super-2 number, since 2×5531284802 = 611902230774220800, which contains 22 as substring.

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 (553128487) 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, 262471 + ... + 264569.

It is an arithmetic number, because the mean of its divisors is an integer number (10253250).

Almost surely, 2553128480 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 553128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312000).

553128480 is an abundant number, since it is smaller than the sum of its proper divisors (1415495520).

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

553128480 is a wasteful number, since it uses less digits than its factorization.

553128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 553128480 is about 23518.6836366324. The cubic root of 553128480 is about 820.8718072673.

The spelling of 553128480 in words is "five hundred fifty-three million, one hundred twenty-eight thousand, four hundred eighty".