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40465300 = 22521133581
BaseRepresentation
bin1001101001011…
…1001110010100
32211010211221211
42122113032110
540324342200
64003151204
71000643431
oct232271624
984124854
1040465300
11209291a7
1211675504
1384ca585
145534b88
153844aba
hex2697394

40465300 has 36 divisors (see below), whose sum is σ = 88611516. Its totient is φ = 16038400.

The previous prime is 40465291. The next prime is 40465361. The reversal of 40465300 is 356404.

40465300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2347024 + 38118276 = 1532^2 + 6174^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9510 + ... + 13090.

It is an arithmetic number, because the mean of its divisors is an integer number (2461431).

Almost surely, 240465300 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 40465300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44305758).

40465300 is an abundant number, since it is smaller than the sum of its proper divisors (48146216).

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

40465300 is a wasteful number, since it uses less digits than its factorization.

40465300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 40465300 is about 6361.2341569856. The cubic root of 40465300 is about 343.3161667562.

The spelling of 40465300 in words is "forty million, four hundred sixty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 3581 5650 7162 11300 14324 17905 35810 71620 89525 179050 358100 404653 809306 1618612 2023265 4046530 8093060 10116325 20232650 40465300