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40128732 = 22327592699
BaseRepresentation
bin1001100100010…
…1000011011100
32210111202021100
42121011003130
540233104412
63552033100
7665042250
oct231050334
983452240
1040128732
1120719346
1211532790
138410317
145488260
1537c9edc
hex26450dc

40128732 has 72 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 11266848.

The previous prime is 40128731. The next prime is 40128733. The reversal of 40128732 is 23782104.

It is an interprime number because it is at equal distance from previous prime (40128731) and next prime (40128733).

It is a super-2 number, since 2×401287322 = 3220630263855648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40128696 and 40128705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40128731) 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 23 ways as a sum of consecutive naturals, for example, 13519 + ... + 16217.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 240128732 is an apocalyptic number.

40128732 is a gapful number since it is divisible by the number (42) 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 40128732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

40128732 is an abundant number, since it is smaller than the sum of its proper divisors (77807268).

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

40128732 is a wasteful number, since it uses less digits than its factorization.

40128732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40128732 is about 6334.7243033932. The cubic root of 40128732 is about 342.3616774991.

The spelling of 40128732 in words is "forty million, one hundred twenty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 2699 3717 4956 5398 7434 8097 10796 14868 16194 18893 24291 32388 37786 48582 56679 75572 97164 113358 159241 170037 226716 318482 340074 477723 636964 680148 955446 1114687 1433169 1910892 2229374 2866338 3344061 4458748 5732676 6688122 10032183 13376244 20064366 40128732