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553256256 = 2637331271
BaseRepresentation
bin100000111110100…
…000010101000000
31102120001022220110
4200332200111000
52113113200011
6130522111320
716465413000
oct4076402500
91376038813
10553256256
11264331683
1213534b540
138a810687
145369a000
1533887ba6
hex20fa0540

553256256 has 224 divisors, whose sum is σ = 1768652800. Its totient is φ = 152409600.

The previous prime is 553256213. The next prime is 553256261. The reversal of 553256256 is 652652355.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2041401 + ... + 2041671.

Almost surely, 2553256256 is an apocalyptic number.

553256256 is a gapful number since it is divisible by the number (56) 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 553256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884326400).

553256256 is an abundant number, since it is smaller than the sum of its proper divisors (1215396544).

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

553256256 is a wasteful number, since it uses less digits than its factorization.

553256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 314 counting only the distinct ones).

The product of its digits is 270000, while the sum is 39.

The square root of 553256256 is about 23521.3999583358. The cubic root of 553256256 is about 820.9350111728.

The spelling of 553256256 in words is "five hundred fifty-three million, two hundred fifty-six thousand, two hundred fifty-six".