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40715568 = 24333072
BaseRepresentation
bin1001101101010…
…0010100110000
32211121120021000
42123110110300
540410344233
64012402000
71003035165
oct233242460
984546230
1040715568
1120a8a233
1211776300
13858746a
14559c06c
153893d13
hex26d4530

40715568 has 60 divisors (see below), whose sum is σ = 117250680. Its totient is φ = 13527648.

The previous prime is 40715557. The next prime is 40715569. The reversal of 40715568 is 86551704.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40715569) 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 11 ways as a sum of consecutive naturals, for example, 132471 + ... + 132777.

It is an arithmetic number, because the mean of its divisors is an integer number (1954178).

Almost surely, 240715568 is an apocalyptic number.

40715568 is a gapful number since it is divisible by the number (48) 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 40715568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58625340).

40715568 is an abundant number, since it is smaller than the sum of its proper divisors (76535112).

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

40715568 is an equidigital number, since it uses as much as digits as its factorization.

40715568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 40715568 is about 6380.8751750837. The cubic root of 40715568 is about 344.0224881639.

The spelling of 40715568 in words is "forty million, seven hundred fifteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 307 432 614 921 1228 1842 2456 2763 3684 4912 5526 7368 8289 11052 14736 16578 22104 33156 44208 66312 94249 132624 188498 282747 376996 565494 753992 848241 1130988 1507984 1696482 2261976 2544723 3392964 4523952 5089446 6785928 10178892 13571856 20357784 40715568