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41862048 = 2534310141
BaseRepresentation
bin1001111110110…
…0001110100000
32220202210221020
42133230032200
541204041143
64053125440
71015551534
oct237541640
986683836
1041862048
11216a2638
1212029880
138899257
1457b9bc4
153a1d883
hex27ec3a0

41862048 has 48 divisors (see below), whose sum is σ = 112454496. Its totient is φ = 13628160.

The previous prime is 41862019. The next prime is 41862061. The reversal of 41862048 is 84026814.

41862048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 943 + ... + 9198.

It is an arithmetic number, because the mean of its divisors is an integer number (2342802).

Almost surely, 241862048 is an apocalyptic number.

41862048 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 41862048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56227248).

41862048 is an abundant number, since it is smaller than the sum of its proper divisors (70592448).

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

41862048 is a wasteful number, since it uses less digits than its factorization.

41862048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 41862048 is about 6470.0887165479. The cubic root of 41862048 is about 347.2216717910.

The spelling of 41862048 in words is "forty-one million, eight hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 10141 20282 30423 40564 60846 81128 121692 162256 243384 324512 436063 486768 872126 973536 1308189 1744252 2616378 3488504 5232756 6977008 10465512 13954016 20931024 41862048