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40645664 = 2543109271
BaseRepresentation
bin1001101100001…
…1010000100000
32211111000100222
42123003100200
540401130124
64011102212
71002324323
oct233032040
984430328
1040645664
1120a41764
1211741968
1385616b7
1455807ba
15387d25e
hex26c3420

40645664 has 48 divisors (see below), whose sum is σ = 82938240. Its totient is φ = 19595520.

The previous prime is 40645663. The next prime is 40645711. The reversal of 40645664 is 46654604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40645663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149849 + ... + 150119.

It is an arithmetic number, because the mean of its divisors is an integer number (1727880).

Almost surely, 240645664 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 40645664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41469120).

40645664 is an abundant number, since it is smaller than the sum of its proper divisors (42292576).

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

40645664 is a wasteful number, since it uses less digits than its factorization.

40645664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 40645664 is about 6375.3952034364. The cubic root of 40645664 is about 343.8254928849.

The spelling of 40645664 in words is "forty million, six hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 86 109 172 218 271 344 436 542 688 872 1084 1376 1744 2168 3488 4336 4687 8672 9374 11653 18748 23306 29539 37496 46612 59078 74992 93224 118156 149984 186448 236312 372896 472624 945248 1270177 2540354 5080708 10161416 20322832 40645664