Search a number
-
+
563040828 = 223372332381
BaseRepresentation
bin100001100011110…
…101001000111100
31110020110102211000
4201203311020330
52123114301303
6131511530300
716644524310
oct4143651074
91406412730
10563040828
112699049a9
12138689990
138c85816c
1454ac5b40
153466bda3
hex218f523c

563040828 has 96 divisors (see below), whose sum is σ = 1740856320. Its totient is φ = 153869760.

The previous prime is 563040827. The next prime is 563040857. The reversal of 563040828 is 828040365.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 563040792 and 563040801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563040827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198 + ... + 33578.

It is an arithmetic number, because the mean of its divisors is an integer number (18133920).

Almost surely, 2563040828 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 563040828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870428160).

563040828 is an abundant number, since it is smaller than the sum of its proper divisors (1177815492).

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

563040828 is a wasteful number, since it uses less digits than its factorization.

563040828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32424 (or 32416 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 563040828 is about 23728.4813673358. The cubic root of 563040828 is about 825.7462866965.

The spelling of 563040828 in words is "five hundred sixty-three million, forty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 17388 32381 64762 97143 129524 194286 226667 291429 388572 453334 582858 680001 744763 874287 906668 1165716 1360002 1489526 1748574 2040003 2234289 2720004 2979052 3497148 4080006 4468578 5213341 6120009 6702867 8160012 8937156 10426682 12240018 13405734 15640023 20108601 20853364 24480036 26811468 31280046 40217202 46920069 62560092 80434404 93840138 140760207 187680276 281520414 563040828