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40308736 = 21213757
BaseRepresentation
bin1001100111000…
…1000000000000
32210211220012011
42121301000000
540304334421
63555542304
7666422116
oct231610000
983756164
1040308736
1120831606
12115ba994
138474230
1454d3ab6
1538134e1
hex2671000

40308736 has 52 divisors (see below), whose sum is σ = 86922892. Its totient is φ = 18579456.

The previous prime is 40308733. The next prime is 40308743. The reversal of 40308736 is 63780304.

It can be written as a sum of positive squares in 2 ways, for example, as 14745600 + 25563136 = 3840^2 + 5056^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a junction number, because it is equal to n+sod(n) for n = 40308698 and 40308707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40308731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52870 + ... + 53626.

Almost surely, 240308736 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 40308736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43461446).

40308736 is an abundant number, since it is smaller than the sum of its proper divisors (46614156).

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

40308736 is an equidigital number, since it uses as much as digits as its factorization.

40308736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 40308736 is about 6348.9161279702. The cubic root of 40308736 is about 342.8728204471.

The spelling of 40308736 in words is "forty million, three hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 757 832 1024 1514 1664 2048 3028 3328 4096 6056 6656 9841 12112 13312 19682 24224 26624 39364 48448 53248 78728 96896 157456 193792 314912 387584 629824 775168 1259648 1550336 2519296 3100672 5038592 10077184 20154368 40308736