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40643724 = 223111631889
BaseRepresentation
bin1001101100001…
…0110010001100
32211110220201010
42123002302030
540401044344
64011045220
71002315552
oct233026214
984426633
1040643724
1120a40260
1211740810
138560854
14557dbd2
15387c8b9
hex26c2c8c

40643724 has 48 divisors (see below), whose sum is σ = 104146560. Its totient is φ = 12234240.

The previous prime is 40643711. The next prime is 40643747. The reversal of 40643724 is 42734604.

It is a junction number, because it is equal to n+sod(n) for n = 40643691 and 40643700.

It is an unprimeable number.

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, 20572 + ... + 22460.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 240643724 is an apocalyptic number.

40643724 is a gapful number since it is divisible by the number (44) 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 40643724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52073280).

40643724 is an abundant number, since it is smaller than the sum of its proper divisors (63502836).

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

40643724 is a wasteful number, since it uses less digits than its factorization.

40643724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 40643724 is about 6375.2430541902. The cubic root of 40643724 is about 343.8200225838.

The spelling of 40643724 in words is "forty million, six hundred forty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 489 652 978 1793 1889 1956 3586 3778 5379 5667 7172 7556 10758 11334 20779 21516 22668 41558 62337 83116 124674 249348 307907 615814 923721 1231628 1847442 3386977 3694884 6773954 10160931 13547908 20321862 40643724