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41316648 = 2332329289
BaseRepresentation
bin1001110110011…
…1000100101000
32212202002210020
42131213010220
541034113043
64033320440
71011120462
oct235470450
985662706
1041316648
112135a89a
1211a06120
138737c29
1456b7132
153961e83
hex2767128

41316648 has 96 divisors (see below), whose sum is σ = 112881600. Its totient is φ = 12576256.

The previous prime is 41316641. The next prime is 41316673. The reversal of 41316648 is 84661314.

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

It is not an unprimeable number, because it can be changed into a prime (41316641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464188 + ... + 464276.

It is an arithmetic number, because the mean of its divisors is an integer number (1175850).

Almost surely, 241316648 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 41316648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56440800).

41316648 is an abundant number, since it is smaller than the sum of its proper divisors (71564952).

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

41316648 is a wasteful number, since it uses less digits than its factorization.

41316648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 146 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 41316648 is about 6427.8027349943. The cubic root of 41316648 is about 345.7071485967.

The spelling of 41316648 in words is "forty-one million, three hundred sixteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 89 92 116 138 174 178 184 232 267 276 348 356 534 552 667 696 712 841 1068 1334 1682 2001 2047 2136 2523 2581 2668 3364 4002 4094 5046 5162 5336 6141 6728 7743 8004 8188 10092 10324 12282 15486 16008 16376 19343 20184 20648 24564 30972 38686 49128 58029 59363 61944 74849 77372 116058 118726 149698 154744 178089 224547 232116 237452 299396 356178 449094 464232 474904 598792 712356 898188 1424712 1721527 1796376 3443054 5164581 6886108 10329162 13772216 20658324 41316648