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41398848 = 2632411753
BaseRepresentation
bin1001110111101…
…1001001000000
32212220021112200
42131323021000
541044230343
64035153200
71011612231
oct235731100
985807480
1041398848
1121406627
1211a45800
13876647a
1456d9088
15397b4d3
hex277b240

41398848 has 84 divisors (see below), whose sum is σ = 121625868. Its totient is φ = 13455360.

The previous prime is 41398837. The next prime is 41398867. The reversal of 41398848 is 84889314.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 39841344 = 1248^2 + 6312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22740 + ... + 24492.

It is an arithmetic number, because the mean of its divisors is an integer number (1447927).

Almost surely, 241398848 is an apocalyptic number.

41398848 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 41398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60812934).

41398848 is an abundant number, since it is smaller than the sum of its proper divisors (80227020).

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

41398848 is a wasteful number, since it uses less digits than its factorization.

41398848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1799 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 41398848 is about 6434.1936557738. The cubic root of 41398848 is about 345.9362596563.

The spelling of 41398848 in words is "forty-one million, three hundred ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1753 1968 2624 2952 3506 3936 5259 5904 7012 7872 10518 11808 14024 15777 21036 23616 28048 31554 42072 56096 63108 71873 84144 112192 126216 143746 168288 215619 252432 287492 336576 431238 504864 574984 646857 862476 1009728 1149968 1293714 1724952 2299936 2587428 3449904 4599872 5174856 6899808 10349712 13799616 20699424 41398848