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553943040 = 215357223
BaseRepresentation
bin100001000001001…
…000000000000000
31102121100012222220
4201001020000000
52113302134130
6130544531040
716504303200
oct4101100000
91377305886
10553943040
11264760672
12135620a80
138a9c1161
14537d8400
1533971410
hex21048000

553943040 has 384 divisors, whose sum is σ = 2151645120. Its totient is φ = 121110528.

The previous prime is 553943029. The next prime is 553943051. The reversal of 553943040 is 40349355.

It is an interprime number because it is at equal distance from previous prime (553943029) and next prime (553943051).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 553942992 and 553943010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24084469 + ... + 24084491.

Almost surely, 2553943040 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 553943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075822560).

553943040 is an abundant number, since it is smaller than the sum of its proper divisors (1597702080).

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

553943040 is an equidigital number, since it uses as much as digits as its factorization.

553943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 553943040 is about 23535.9945615221. The cubic root of 553943040 is about 821.2745596143.

The spelling of 553943040 in words is "five hundred fifty-three million, nine hundred forty-three thousand, forty".