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3928716 = 2233113307
BaseRepresentation
bin1110111111001010001100
321101121012000
432333022030
52001204331
6220112300
745251661
oct16771214
97347160
103928716
112243780
121395690
13a772ac
14743a68
155290e6
hex3bf28c

3928716 has 48 divisors (see below), whose sum is σ = 11114880. Its totient is φ = 1190160.

The previous prime is 3928709. The next prime is 3928721. The reversal of 3928716 is 6178293.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 466 + ... + 2841.

It is an arithmetic number, because the mean of its divisors is an integer number (231560).

Almost surely, 23928716 is an apocalyptic number.

3928716 is a gapful number since it is divisible by the number (36) 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 3928716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557440).

3928716 is an abundant number, since it is smaller than the sum of its proper divisors (7186164).

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

3928716 is a wasteful number, since it uses less digits than its factorization.

3928716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3323 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3928716 is about 1982.0988875432. The cubic root of 3928716 is about 157.7914783815.

The spelling of 3928716 in words is "three million, nine hundred twenty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3307 6614 9921 13228 19842 29763 36377 39684 59526 72754 89289 109131 119052 145508 178578 218262 327393 357156 436524 654786 982179 1309572 1964358 3928716