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40663296 = 28343753
BaseRepresentation
bin1001101100011…
…1100100000000
32211111220120000
42123013210000
540402211141
64011320000
71002426612
oct233074400
984456500
1040663296
1120a53a33
1211750000
13856972b
145586db2
1538835b6
hex26c7900

40663296 has 180 divisors, whose sum is σ = 126877212. Its totient is φ = 12939264.

The previous prime is 40663283. The next prime is 40663297. The reversal of 40663296 is 69236604.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 7485696 = 5760^2 + 2736^2 .

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 40663296.

It is not an unprimeable number, because it can be changed into a prime (40663297) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 767206 + ... + 767258.

Almost surely, 240663296 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 40663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63438606).

40663296 is an abundant number, since it is smaller than the sum of its proper divisors (86213916).

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

40663296 is an equidigital number, since it uses as much as digits as its factorization.

40663296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 40663296 is about 6376.7778697395. Note that the first 3 decimals coincide. The cubic root of 40663296 is about 343.8752026128.

The spelling of 40663296 in words is "forty million, six hundred sixty-three thousand, two hundred ninety-six".