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553299408 = 2432172331317
BaseRepresentation
bin100000111110101…
…010110111010000
31102120010112002200
4200332222313100
52113121040113
6130523043200
716465652544
oct4076526720
91376115080
10553299408
11264361042
12135370500
138a8271cc
14536aba24
1533895873
hex20faadd0

553299408 has 240 divisors, whose sum is σ = 1771600896. Its totient is φ = 160174080.

The previous prime is 553299407. The next prime is 553299413. The reversal of 553299408 is 804992355.

553299408 is a `hidden beast` number, since 553 + 2 + 9 + 94 + 0 + 8 = 666.

553299408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5532994082 = 612280469786300928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553299407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745266 + ... + 1745582.

Almost surely, 2553299408 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 553299408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885800448).

553299408 is an abundant number, since it is smaller than the sum of its proper divisors (1218301488).

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

553299408 is a wasteful number, since it uses less digits than its factorization.

553299408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 553299408 is about 23522.3172327898. The cubic root of 553299408 is about 820.9563539449.

The spelling of 553299408 in words is "five hundred fifty-three million, two hundred ninety-nine thousand, four hundred eight".