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40662640 = 24517291031
BaseRepresentation
bin1001101100011…
…1011001110000
32211111212122201
42123013121300
540402201030
64011312544
71002424654
oct233073160
984455581
1040662640
1120a53497
121174b754
138569345
145586a64
1538832ca
hex26c7670

40662640 has 80 divisors (see below), whose sum is σ = 103654080. Its totient is φ = 14766080.

The previous prime is 40662637. The next prime is 40662647. The reversal of 40662640 is 4626604.

40662640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40662599 and 40662608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40662647) 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 15 ways as a sum of consecutive naturals, for example, 38925 + ... + 39955.

It is an arithmetic number, because the mean of its divisors is an integer number (1295676).

Almost surely, 240662640 is an apocalyptic number.

40662640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51827040).

40662640 is an abundant number, since it is smaller than the sum of its proper divisors (62991440).

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

40662640 is a wasteful number, since it uses less digits than its factorization.

40662640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 40662640 is about 6376.7264328964. The cubic root of 40662640 is about 343.8733534157.

The spelling of 40662640 in words is "forty million, six hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 680 986 1031 1160 1360 1972 2062 2320 2465 3944 4124 4930 5155 7888 8248 9860 10310 16496 17527 19720 20620 29899 35054 39440 41240 59798 70108 82480 87635 119596 140216 149495 175270 239192 280432 298990 350540 478384 508283 597980 701080 1016566 1195960 1402160 2033132 2391920 2541415 4066264 5082830 8132528 10165660 20331320 40662640