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4172016 = 243233779
BaseRepresentation
bin1111111010100011110000
321211221221010
433322203300
52032001031
6225230520
750314212
oct17724360
97757833
104172016
11239a552
121492440
13b30c64
147a85b2
15576246
hex3fa8f0

4172016 has 40 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1329856.

The previous prime is 4171991. The next prime is 4172029. The reversal of 4172016 is 6102714.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4171983 and 4172001.

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 7 ways as a sum of consecutive naturals, for example, 786 + ... + 2993.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 24172016 is an apocalyptic number.

4172016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4172016 is an abundant number, since it is smaller than the sum of its proper divisors (7077264).

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

4172016 is a wasteful number, since it uses less digits than its factorization.

4172016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 4172016 is about 2042.5513457438. The cubic root of 4172016 is about 160.9837309796.

The spelling of 4172016 in words is "four million, one hundred seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 3779 7558 11337 15116 22674 30232 45348 60464 86917 90696 173834 181392 260751 347668 521502 695336 1043004 1390672 2086008 4172016