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41355216 = 2432725861
BaseRepresentation
bin1001110111000…
…0011111010000
32212211001200200
42131300133100
541041331331
64034215200
71011341100
oct235603720
985731620
1041355216
1121386871
1211a24500
13874c656
1456c7200
15396d5e6
hex27707d0

41355216 has 90 divisors (see below), whose sum is σ = 134656002. Its totient is φ = 11813760.

The previous prime is 41355199. The next prime is 41355239. The reversal of 41355216 is 61255314.

41355216 is a `hidden beast` number, since 4 + 135 + 521 + 6 = 666.

41355216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 6780816 = 5880^2 + 2604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41355216.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 4126 + ... + 9986.

Almost surely, 241355216 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 41355216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67328001).

41355216 is an abundant number, since it is smaller than the sum of its proper divisors (93300786).

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

41355216 is a wasteful number, since it uses less digits than its factorization.

41355216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5873 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 41355216 is about 6430.8021272622. The cubic root of 41355216 is about 345.8146846414.

The spelling of 41355216 in words is "forty-one million, three hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 5861 7056 11722 17583 23444 35166 41027 46888 52749 70332 82054 93776 105498 123081 140664 164108 210996 246162 281328 287189 328216 369243 421992 492324 574378 656432 738486 843984 861567 984648 1148756 1476972 1723134 1969296 2297512 2584701 2953944 3446268 4595024 5169402 5907888 6892536 10338804 13785072 20677608 41355216