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41155648 = 262373383
BaseRepresentation
bin1001110011111…
…1110001000000
32212102220221021
42130333301000
541013440043
64030035224
71006550212
oct234776100
985386837
1041155648
112125a936
1211948b14
1386ac871
1456745b2
15392e3ed
hex273fc40

41155648 has 56 divisors (see below), whose sum is σ = 86611968. Its totient is φ = 19362816.

The previous prime is 41155619. The next prime is 41155661. The reversal of 41155648 is 84655114.

41155648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 107265 + ... + 107647.

Almost surely, 241155648 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 41155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43305984).

41155648 is an abundant number, since it is smaller than the sum of its proper divisors (45456320).

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

41155648 is a wasteful number, since it uses less digits than its factorization.

41155648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 41155648 is about 6415.2667910228. The cubic root of 41155648 is about 345.2575210942.

The spelling of 41155648 in words is "forty-one million, one hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 146 184 292 368 383 584 736 766 1168 1472 1532 1679 2336 3064 3358 4672 6128 6716 8809 12256 13432 17618 24512 26864 27959 35236 53728 55918 70472 107456 111836 140944 223672 281888 447344 563776 643057 894688 1286114 1789376 2572228 5144456 10288912 20577824 41155648