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553050000 = 2432551229
BaseRepresentation
bin100000111101101…
…101111110010000
31102112122211222100
4200331231332100
52113040100000
6130513440400
716463563446
oct4075557620
91375584870
10553050000
11264200718
12135270100
138a76a829
1453644b96
1533846a00
hex20f6df90

553050000 has 180 divisors, whose sum is σ = 1936165140. Its totient is φ = 147360000.

The previous prime is 553049993. The next prime is 553050023. The reversal of 553050000 is 50355.

It can be written as a sum of positive squares in 6 ways, for example, as 287099136 + 265950864 = 16944^2 + 16308^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449386 + ... + 450614.

It is an arithmetic number, because the mean of its divisors is an integer number (10756473).

Almost surely, 2553050000 is an apocalyptic number.

553050000 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 553050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968082570).

553050000 is an abundant number, since it is smaller than the sum of its proper divisors (1383115140).

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

553050000 is a wasteful number, since it uses less digits than its factorization.

553050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 553050000 is about 23517.0151167192. The cubic root of 553050000 is about 820.8329826127.

The spelling of 553050000 in words is "five hundred fifty-three million, fifty thousand".