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40327728 = 2437196317
BaseRepresentation
bin1001100111010…
…1101000110000
32210212212020120
42121311220300
540310441403
64000210240
7666531360
oct231655060
983785216
1040327728
1120844901
1211609980
13847ca7c
1454da9a0
153818e53
hex2675a30

40327728 has 80 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 10914048.

The previous prime is 40327697. The next prime is 40327733. The reversal of 40327728 is 82772304.

It is a super-4 number, since 4×403277284 (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3226 + ... + 9542.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 240327728 is an apocalyptic number.

40327728 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 40327728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

40327728 is an abundant number, since it is smaller than the sum of its proper divisors (85021392).

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

40327728 is a wasteful number, since it uses less digits than its factorization.

40327728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6348 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 40327728 is about 6350.4116402010. The cubic root of 40327728 is about 342.9266616968.

The spelling of 40327728 in words is "forty million, three hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6317 6384 12634 18951 25268 37902 44219 50536 75804 88438 101072 120023 132657 151608 176876 240046 265314 303216 353752 360069 480092 530628 707504 720138 840161 960184 1061256 1440276 1680322 1920368 2122512 2520483 2880552 3360644 5040966 5761104 6721288 10081932 13442576 20163864 40327728