Search a number
-
+
4379904 = 28321901
BaseRepresentation
bin10000101101010100000000
322020112002200
4100231110000
52110124104
6233513200
752141254
oct20552400
98215080
104379904
112521761
121572800
13ba4779
14820264
155b7b39
hex42d500

4379904 has 54 divisors (see below), whose sum is σ = 12634986. Its totient is φ = 1459200.

The previous prime is 4379887. The next prime is 4379911. The reversal of 4379904 is 4099734.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 1557504 = 1680^2 + 1248^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1354 + ... + 3254.

Almost surely, 24379904 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 4379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317493).

4379904 is an abundant number, since it is smaller than the sum of its proper divisors (8255082).

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

4379904 is a wasteful number, since it uses less digits than its factorization.

4379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4379904 is about 2092.8220182328. The cubic root of 4379904 is about 163.6144024400.

The spelling of 4379904 in words is "four million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1901 2304 3802 5703 7604 11406 15208 17109 22812 30416 34218 45624 60832 68436 91248 121664 136872 182496 243328 273744 364992 486656 547488 729984 1094976 1459968 2189952 4379904