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40164012 = 223575903
BaseRepresentation
bin1001100100110…
…1101010101100
32210120112200000
42121031222230
540240222022
63552504300
7665250150
oct231155254
983515600
1040164012
11207428a9
121154b090
1384233b5
145497060
1537d56ac
hex264daac

40164012 has 72 divisors (see below), whose sum is σ = 120347136. Its totient is φ = 11473488.

The previous prime is 40163999. The next prime is 40164017. The reversal of 40164012 is 21046104.

40164012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401640122 = 3226295719872288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40164017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3853 + ... + 9755.

It is an arithmetic number, because the mean of its divisors is an integer number (1671488).

Almost surely, 240164012 is an apocalyptic number.

40164012 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 40164012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60173568).

40164012 is an abundant number, since it is smaller than the sum of its proper divisors (80183124).

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

40164012 is a wasteful number, since it uses less digits than its factorization.

40164012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40164012 is about 6337.5083431898. The cubic root of 40164012 is about 342.4619795471.

The spelling of 40164012 in words is "forty million, one hundred sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 5903 6804 11806 17709 23612 35418 41321 53127 70836 82642 106254 123963 159381 165284 212508 247926 318762 371889 478143 495852 637524 743778 956286 1115667 1434429 1487556 1912572 2231334 2868858 3347001 4462668 5737716 6694002 10041003 13388004 20082006 40164012