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493054848 = 273211134173
BaseRepresentation
bin11101011000110…
…110101110000000
31021100202210002200
4131120312232000
52002210223343
6120531513200
715134616456
oct3530665600
91240683080
10493054848
11233353450
12119158800
137b1c2b40
14496a89d6
152d4454d3
hex1d636b80

493054848 has 384 divisors, whose sum is σ = 1730907360. Its totient is φ = 132710400.

The previous prime is 493054843. The next prime is 493054867. The reversal of 493054848 is 848450394.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493054843) 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, 6754140 + ... + 6754212.

Almost surely, 2493054848 is an apocalyptic number.

493054848 is a gapful number since it is divisible by the number (48) 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 493054848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865453680).

493054848 is an abundant number, since it is smaller than the sum of its proper divisors (1237852512).

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

493054848 is a wasteful number, since it uses less digits than its factorization.

493054848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 493054848 is about 22204.8383916659. The cubic root of 493054848 is about 790.0084643648.

The spelling of 493054848 in words is "four hundred ninety-three million, fifty-four thousand, eight hundred forty-eight".