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4078728 = 233323821
BaseRepresentation
bin1111100011110010001000
321200012222000
433203302020
52021004403
6223231000
746445223
oct17436210
97605860
104078728
112336455
121448460
13aca664
147825ba
155587a3
hex3e3c88

4078728 has 64 divisors (see below), whose sum is σ = 11836800. Its totient is φ = 1298880.

The previous prime is 4078717. The next prime is 4078741. The reversal of 4078728 is 8278704.

4078728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4078692 and 4078701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4558 + ... + 5378.

It is an arithmetic number, because the mean of its divisors is an integer number (184950).

Almost surely, 24078728 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 4078728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918400).

4078728 is an abundant number, since it is smaller than the sum of its proper divisors (7758072).

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

4078728 is a wasteful number, since it uses less digits than its factorization.

4078728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4078728 is about 2019.5860962088. The cubic root of 4078728 is about 159.7747873107.

The spelling of 4078728 in words is "four million, seventy-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 821 828 1242 1642 1656 2463 2484 3284 4926 4968 6568 7389 9852 14778 18883 19704 22167 29556 37766 44334 56649 59112 75532 88668 113298 151064 169947 177336 226596 339894 453192 509841 679788 1019682 1359576 2039364 4078728