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563048416 = 2572734919
BaseRepresentation
bin100001100011110…
…110111111100000
31110020110211020001
4201203312333200
52123120022131
6131512025344
716644555400
oct4143667740
91406424201
10563048416
1126990a677
12138692254
138c85b758
1454ac8800
153466e261
hex218f6fe0

563048416 has 72 divisors (see below), whose sum is σ = 1307411280. Its totient is φ = 237952512.

The previous prime is 563048363. The next prime is 563048419. The reversal of 563048416 is 614840365.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563048419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112005 + ... + 116923.

It is an arithmetic number, because the mean of its divisors is an integer number (18158490).

Almost surely, 2563048416 is an apocalyptic number.

563048416 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 563048416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653705640).

563048416 is an abundant number, since it is smaller than the sum of its proper divisors (744362864).

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

563048416 is a wasteful number, since it uses less digits than its factorization.

563048416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 563048416 is about 23728.6412590355. The cubic root of 563048416 is about 825.7499961579.

The spelling of 563048416 in words is "five hundred sixty-three million, forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 292 392 511 584 784 1022 1168 1568 2044 2336 3577 4088 4919 7154 8176 9838 14308 16352 19676 28616 34433 39352 57232 68866 78704 114464 137732 157408 241031 275464 359087 482062 550928 718174 964124 1101856 1436348 1928248 2513609 2872696 3856496 5027218 5745392 7712992 10054436 11490784 17595263 20108872 35190526 40217744 70381052 80435488 140762104 281524208 563048416