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41430912 = 273234691
BaseRepresentation
bin1001111000001…
…0111110000000
32212221220112020
42132002332000
541101242122
64040001440
71012104555
oct236027600
985856466
1041430912
1121428726
1211a60280
138777c43
145706a2c
153985c5c
hex2782f80

41430912 has 64 divisors (see below), whose sum is σ = 114860160. Its totient is φ = 13207040.

The previous prime is 41430901. The next prime is 41430929. The reversal of 41430912 is 21903414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 6487 + ... + 11177.

It is an arithmetic number, because the mean of its divisors is an integer number (1794690).

Almost surely, 241430912 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 41430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57430080).

41430912 is an abundant number, since it is smaller than the sum of its proper divisors (73429248).

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

41430912 is a wasteful number, since it uses less digits than its factorization.

41430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 41430912 is about 6436.6848610135. The cubic root of 41430912 is about 346.0255474693.

The spelling of 41430912 in words is "forty-one million, four hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 4691 8832 9382 14073 18764 28146 37528 56292 75056 107893 112584 150112 215786 225168 300224 323679 431572 450336 600448 647358 863144 900672 1294716 1726288 1801344 2589432 3452576 5178864 6905152 10357728 13810304 20715456 41430912