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553213440 = 29325131847
BaseRepresentation
bin100000111110010…
…101111000000000
31102112222011011200
4200332111320000
52113110312230
6130521141200
716465144113
oct4076257000
91375864150
10553213440
1126430249a
1213532a800
138a7c7040
145368857a
153387a160
hex20f95e00

553213440 has 240 divisors, whose sum is σ = 2064430368. Its totient is φ = 136101888.

The previous prime is 553213429. The next prime is 553213487. The reversal of 553213440 is 44312355.

553213440 is a `hidden beast` number, since 5 + 5 + 3 + 213 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5532134402 = 612090220393267200, which contains 22 as substring.

It is a congruent number.

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, 298597 + ... + 300443.

Almost surely, 2553213440 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 553213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032215184).

553213440 is an abundant number, since it is smaller than the sum of its proper divisors (1511216928).

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

553213440 is a wasteful number, since it uses less digits than its factorization.

553213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 553213440 is about 23520.4897908186. The cubic root of 553213440 is about 820.9138334877.

Adding to 553213440 its reverse (44312355), we get a palindrome (597525795).

The spelling of 553213440 in words is "five hundred fifty-three million, two hundred thirteen thousand, four hundred forty".