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3728816 = 247132197
BaseRepresentation
bin1110001110010110110000
321000102222022
432032112300
51423310231
6211531012
743460120
oct16162660
97012868
103728816
112117573
1212b9a68
13a07300
146d0c80
154d9c7b
hex38e5b0

3728816 has 60 divisors (see below), whose sum is σ = 8986032. Its totient is φ = 1467648.

The previous prime is 3728789. The next prime is 3728821. The reversal of 3728816 is 6188273.

3728816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 18830 + ... + 19026.

Almost surely, 23728816 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 3728816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493016).

3728816 is an abundant number, since it is smaller than the sum of its proper divisors (5257216).

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

3728816 is a wasteful number, since it uses less digits than its factorization.

3728816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 3728816 is about 1931.0142412732. The cubic root of 3728816 is about 155.0685232924.

The spelling of 3728816 in words is "three million, seven hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 197 208 338 364 394 676 728 788 1183 1352 1379 1456 1576 2366 2561 2704 2758 3152 4732 5122 5516 9464 10244 11032 17927 18928 20488 22064 33293 35854 40976 66586 71708 133172 143416 233051 266344 286832 466102 532688 932204 1864408 3728816