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4117056 = 26341523
BaseRepresentation
bin1111101101001001000000
321202011112120
433231021000
52023221211
6224124240
746665036
oct17551100
97664476
104117056
112362229
121466680
13b11c38
14792556
15564d06
hex3ed240

4117056 has 56 divisors (see below), whose sum is σ = 11180064. Its totient is φ = 1336320.

The previous prime is 4117037. The next prime is 4117081. The reversal of 4117056 is 6507114.

4117056 = T275 + T276 + ... + T356.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7611 + ... + 8133.

It is an arithmetic number, because the mean of its divisors is an integer number (199644).

Almost surely, 24117056 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 4117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590032).

4117056 is an abundant number, since it is smaller than the sum of its proper divisors (7063008).

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

4117056 is a wasteful number, since it uses less digits than its factorization.

4117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 4117056 is about 2029.0529810727. The cubic root of 4117056 is about 160.2736982078.

The spelling of 4117056 in words is "four million, one hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 523 656 984 1046 1312 1569 1968 2092 2624 3138 3936 4184 6276 7872 8368 12552 16736 21443 25104 33472 42886 50208 64329 85772 100416 128658 171544 257316 343088 514632 686176 1029264 1372352 2058528 4117056