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563400396 = 2232133313637
BaseRepresentation
bin100001100101001…
…100111011001100
31110021010201001100
4201211030323030
52123212303041
6131523343100
716650552516
oct4145147314
91407121040
10563400396
1126a030069
12138821a90
138c952a20
1454b7abb6
15346dd6b6
hex2194cecc

563400396 has 72 divisors (see below), whose sum is σ = 1538757584. Its totient is φ = 172782720.

The previous prime is 563400391. The next prime is 563400403. The reversal of 563400396 is 693004365.

563400396 is a `hidden beast` number, since 563 + 4 + 0 + 0 + 3 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 563400396.

It is not an unprimeable number, because it can be changed into a prime (563400391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153090 + ... + 156726.

Almost surely, 2563400396 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 563400396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769378792).

563400396 is an abundant number, since it is smaller than the sum of its proper divisors (975357188).

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

563400396 is a wasteful number, since it uses less digits than its factorization.

563400396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 563400396 is about 23736.0568755638. The cubic root of 563400396 is about 825.9220281016.

The spelling of 563400396 in words is "five hundred sixty-three million, four hundred thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 331 468 662 993 1324 1986 2979 3637 3972 4303 5958 7274 8606 10911 11916 12909 14548 17212 21822 25818 32733 38727 43644 47281 51636 65466 77454 94562 130932 141843 154908 189124 283686 425529 567372 851058 1203847 1702116 2407694 3611541 4815388 7223082 10834623 14446164 15650011 21669246 31300022 43338492 46950033 62600044 93900066 140850099 187800132 281700198 563400396