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40655440 = 2457193821
BaseRepresentation
bin1001101100010…
…1101001010000
32211111111210001
42123011221100
540401433230
64011215344
71002364660
oct233055120
984444701
1040655440
1120a49041
1211747554
138565c97
1455841a0
1538810ca
hex26c5a50

40655440 has 80 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 13201920.

The previous prime is 40655437. The next prime is 40655441. The reversal of 40655440 is 4455604.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40655399 and 40655408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40655441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8730 + ... + 12550.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 240655440 is an apocalyptic number.

40655440 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 40655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

40655440 is an abundant number, since it is smaller than the sum of its proper divisors (73087280).

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

40655440 is a wasteful number, since it uses less digits than its factorization.

40655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 40655440 is about 6376.1618549093. The cubic root of 40655440 is about 343.8530560429.

The spelling of 40655440 in words is "forty million, six hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 3821 5320 7642 10640 15284 19105 26747 30568 38210 53494 61136 72599 76420 106988 133735 145198 152840 213976 267470 290396 305680 362995 427952 508193 534940 580792 725990 1016386 1069880 1161584 1451980 2032772 2139760 2540965 2903960 4065544 5081930 5807920 8131088 10163860 20327720 40655440