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41285904 = 2431178193
BaseRepresentation
bin1001110101111…
…1100100010000
32212200112121120
42131133210100
541032122104
64032522240
71010632032
oct235374420
985615546
1041285904
1121339790
12119b0380
138726c3a
1456a9c52
153957cd9
hex275f910

41285904 has 40 divisors (see below), whose sum is σ = 116352672. Its totient is φ = 12510720.

The previous prime is 41285903. The next prime is 41285927. The reversal of 41285904 is 40958214.

41285904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (41285903) 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 7 ways as a sum of consecutive naturals, for example, 38569 + ... + 39624.

Almost surely, 241285904 is an apocalyptic number.

41285904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41285904 is an abundant number, since it is smaller than the sum of its proper divisors (75066768).

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

41285904 is a wasteful number, since it uses less digits than its factorization.

41285904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78215 (or 78209 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 41285904 is about 6425.4108039876. The cubic root of 41285904 is about 345.6213796359.

The spelling of 41285904 in words is "forty-one million, two hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 78193 156386 234579 312772 469158 625544 860123 938316 1251088 1720246 1876632 2580369 3440492 3753264 5160738 6880984 10321476 13761968 20642952 41285904