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41064072 = 2337244429
BaseRepresentation
bin1001110010100…
…1011010001000
32212021021022120
42130221122020
541003022242
64024051240
71006016220
oct234513210
985237276
1041064072
11211a8055
1211903b20
138679c8a
14564d080
1539121ec
hex2729688

41064072 has 32 divisors (see below), whose sum is σ = 117326400. Its totient is φ = 11732544.

The previous prime is 41064071. The next prime is 41064091. The reversal of 41064072 is 27046014.

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

It is not an unprimeable number, because it can be changed into a prime (41064071) 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 7 ways as a sum of consecutive naturals, for example, 122047 + ... + 122382.

It is an arithmetic number, because the mean of its divisors is an integer number (3666450).

Almost surely, 241064072 is an apocalyptic number.

41064072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41064072 is an abundant number, since it is smaller than the sum of its proper divisors (76262328).

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

41064072 is a wasteful number, since it uses less digits than its factorization.

41064072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244445 (or 244441 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 41064072 is about 6408.1254669365. The cubic root of 41064072 is about 345.0012518333.

The spelling of 41064072 in words is "forty-one million, sixty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 244429 488858 733287 977716 1466574 1711003 1955432 2933148 3422006 5133009 5866296 6844012 10266018 13688024 20532036 41064072