Search a number
-
+
553298460 = 22351113591093
BaseRepresentation
bin100000111110101…
…010101000011100
31102120010110210120
4200332222220130
52113121022320
6130523034540
716465650021
oct4076525034
91376113716
10553298460
11264360360
1213536ba50
138a826950
14536ab548
1533895440
hex20faaa1c

553298460 has 192 divisors, whose sum is σ = 1852623360. Its totient is φ = 121605120.

The previous prime is 553298443. The next prime is 553298467. The reversal of 553298460 is 64892355.

It is a super-2 number, since 2×5532984602 = 612278371676743200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553298467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505674 + ... + 506766.

It is an arithmetic number, because the mean of its divisors is an integer number (9649080).

Almost surely, 2553298460 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 553298460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926311680).

553298460 is an abundant number, since it is smaller than the sum of its proper divisors (1299324900).

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

553298460 is a wasteful number, since it uses less digits than its factorization.

553298460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 553298460 is about 23522.2970817053. The cubic root of 553298460 is about 820.9558850806.

The spelling of 553298460 in words is "five hundred fifty-three million, two hundred ninety-eight thousand, four hundred sixty".