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41121648 = 243395189
BaseRepresentation
bin1001110011011…
…1011101110000
32212101012022000
42130313131300
541011343043
64025214000
71006346121
oct234673560
985335260
1041121648
1121237337
1211931300
13869a249
145666048
1539242d3
hex2737770

41121648 has 40 divisors (see below), whose sum is σ = 118035600. Its totient is φ = 13707072.

The previous prime is 41121637. The next prime is 41121659. The reversal of 41121648 is 84612114.

It is a happy number.

41121648 is a `hidden beast` number, since 4 + 1 + 12 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (41121637) and next prime (41121659).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47163 + ... + 48026.

It is an arithmetic number, because the mean of its divisors is an integer number (2950890).

Almost surely, 241121648 is an apocalyptic number.

41121648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41121648 is an abundant number, since it is smaller than the sum of its proper divisors (76913952).

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

41121648 is a wasteful number, since it uses less digits than its factorization.

41121648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95206 (or 95194 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 41121648 is about 6412.6163147346. The cubic root of 41121648 is about 345.1624187987.

The spelling of 41121648 in words is "forty-one million, one hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 95189 190378 285567 380756 571134 761512 856701 1142268 1523024 1713402 2284536 2570103 3426804 4569072 5140206 6853608 10280412 13707216 20560824 41121648