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40845688 = 2313292467
BaseRepresentation
bin1001101111010…
…0000101111000
32211212011202021
42123310011320
540424030223
64015244224
71004116432
oct233640570
984764667
1040845688
1121068a74
1211819674
138601760
1455d3652
1538bc65d
hex26f4178

40845688 has 48 divisors (see below), whose sum is σ = 85601880. Its totient is φ = 18162816.

The previous prime is 40845683. The next prime is 40845689. The reversal of 40845688 is 88654804.

40845688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40845683) by changing a digit.

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, 87231 + ... + 87697.

Almost surely, 240845688 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 40845688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42800940).

40845688 is an abundant number, since it is smaller than the sum of its proper divisors (44756192).

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

40845688 is a wasteful number, since it uses less digits than its factorization.

40845688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 40845688 is about 6391.0631353477. The cubic root of 40845688 is about 344.3885774887.

The spelling of 40845688 in words is "forty million, eight hundred forty-five thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 467 754 841 934 1508 1682 1868 3016 3364 3736 6071 6728 10933 12142 13543 21866 24284 27086 43732 48568 54172 87464 108344 176059 352118 392747 704236 785494 1408472 1570988 3141976 5105711 10211422 20422844 40845688