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553990080 = 26357211777
BaseRepresentation
bin100001000001010…
…011011111000000
31102121102121112010
4201001103133000
52113310140310
6130545532520
716504560300
oct4101233700
91377377463
10553990080
11264792a46
12135644140
138aa096a7
145380b600
1533980320
hex210537c0

553990080 has 168 divisors, whose sum is σ = 2046262608. Its totient is φ = 126615552.

The previous prime is 553990061. The next prime is 553990097. The reversal of 553990080 is 80099355.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41152 + ... + 52928.

Almost surely, 2553990080 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 553990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023131304).

553990080 is an abundant number, since it is smaller than the sum of its proper divisors (1492272528).

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

553990080 is a wasteful number, since it uses less digits than its factorization.

553990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11811 (or 11794 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 553990080 is about 23536.9938607291. The cubic root of 553990080 is about 821.2978060849.

The spelling of 553990080 in words is "five hundred fifty-three million, nine hundred ninety thousand, eighty".