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40128336 = 24321911459
BaseRepresentation
bin1001100100010…
…0111101010000
32210111201201200
42121010331100
540233101321
63552031200
7665041143
oct231047520
983451650
1040128336
1120719016
1211532500
1384100a1
14548805a
1537c9d26
hex2644f50

40128336 has 60 divisors (see below), whose sum is σ = 112968960. Its totient is φ = 13296960.

The previous prime is 40128311. The next prime is 40128349. The reversal of 40128336 is 63382104.

It is a happy number.

It is a super-2 number, since 2×401283362 = 3220566700257792, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 26775 + ... + 28233.

It is an arithmetic number, because the mean of its divisors is an integer number (1882816).

Almost surely, 240128336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40128336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56484480).

40128336 is an abundant number, since it is smaller than the sum of its proper divisors (72840624).

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

40128336 is a wasteful number, since it uses less digits than its factorization.

40128336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40128336 is about 6334.6930470229. The cubic root of 40128336 is about 342.3605513262.

The spelling of 40128336 in words is "forty million, one hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1459 1528 1719 2292 2918 3056 3438 4377 4584 5836 6876 8754 9168 11672 13131 13752 17508 23344 26262 27504 35016 52524 70032 105048 210096 278669 557338 836007 1114676 1672014 2229352 2508021 3344028 4458704 5016042 6688056 10032084 13376112 20064168 40128336