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40414356 = 2233419127
BaseRepresentation
bin1001101000101…
…0110010010100
32211001021002000
42122022302110
540321224411
64002115300
71000342053
oct232126224
984037060
1040414356
11208a39a4
121164bb30
1384b0328
14552039a
153834956
hex268ac94

40414356 has 48 divisors (see below), whose sum is σ = 107345280. Its totient is φ = 13141440.

The previous prime is 40414343. The next prime is 40414379. The reversal of 40414356 is 65341404.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 136 + ... + 8991.

It is an arithmetic number, because the mean of its divisors is an integer number (2236360).

Almost surely, 240414356 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 40414356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53672640).

40414356 is an abundant number, since it is smaller than the sum of its proper divisors (66930924).

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

40414356 is a wasteful number, since it uses less digits than its factorization.

40414356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40414356 is about 6357.2286414758. The cubic root of 40414356 is about 343.1720330284.

The spelling of 40414356 in words is "forty million, four hundred fourteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 9127 18254 27381 36508 54762 82143 109524 164286 246429 328572 374207 492858 748414 985716 1122621 1496828 2245242 3367863 4490484 6735726 10103589 13471452 20207178 40414356