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4379928 = 233729231
BaseRepresentation
bin10000101101010100011000
322020112010120
4100231110120
52110124203
6233513240
752141320
oct20552430
98215116
104379928
112521783
121572820
13ba4797
14820280
155b7b53
hex42d518

4379928 has 96 divisors (see below), whose sum is σ = 13378560. Its totient is φ = 1169280.

The previous prime is 4379923. The next prime is 4379929. The reversal of 4379928 is 8299734.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (108864) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4379928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4379923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141273 + ... + 141303.

It is an arithmetic number, because the mean of its divisors is an integer number (139360).

Almost surely, 24379928 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 4379928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689280).

4379928 is an abundant number, since it is smaller than the sum of its proper divisors (8998632).

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

4379928 is a wasteful number, since it uses less digits than its factorization.

4379928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 4379928 is about 2092.8277521096. The cubic root of 4379928 is about 163.6147012851.

The spelling of 4379928 in words is "four million, three hundred seventy-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 31 42 56 58 62 84 87 93 116 124 168 174 186 203 217 232 248 348 372 406 434 609 651 696 744 812 841 868 899 1218 1302 1624 1682 1736 1798 2436 2523 2604 2697 3364 3596 4872 5046 5208 5394 5887 6293 6728 7192 10092 10788 11774 12586 17661 18879 20184 21576 23548 25172 26071 35322 37758 47096 50344 52142 70644 75516 78213 104284 141288 151032 156426 182497 208568 312852 364994 547491 625704 729988 1094982 1459976 2189964 4379928