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41430816 = 2532720551
BaseRepresentation
bin1001111000001…
…0111100100000
32212221220101200
42132002330200
541101241231
64040001200
71012104360
oct236027440
985856350
1041430816
1121428649
1211a60200
138777b9b
1457069a0
153985be6
hex2782f20

41430816 has 72 divisors (see below), whose sum is σ = 134656704. Its totient is φ = 11836800.

The previous prime is 41430799. The next prime is 41430817. The reversal of 41430816 is 61803414.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 41430816.

It is not an unprimeable number, because it can be changed into a prime (41430817) 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 11 ways as a sum of consecutive naturals, for example, 8260 + ... + 12291.

It is an arithmetic number, because the mean of its divisors is an integer number (1870232).

Almost surely, 241430816 is an apocalyptic number.

It is an amenable number.

41430816 is an abundant number, since it is smaller than the sum of its proper divisors (93225888).

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

41430816 is a wasteful number, since it uses less digits than its factorization.

41430816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20574 (or 20563 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41430816 is about 6436.6774037542. The cubic root of 41430816 is about 346.0252802093.

The spelling of 41430816 in words is "forty-one million, four hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 20551 41102 61653 82204 123306 143857 164408 184959 246612 287714 328816 369918 431571 493224 575428 657632 739836 863142 986448 1150856 1294713 1479672 1726284 1972896 2301712 2589426 2959344 3452568 4603424 5178852 5918688 6905136 10357704 13810272 20715408 41430816