Search a number
-
+
4440072 = 23371319107
BaseRepresentation
bin10000111100000000001000
322100120122010
4100330000020
52114040242
6235055520
752511550
oct20740010
98316563
104440072
11256298a
1215a15a0
13bc5c80
14838160
155ca89c
hex43c008

4440072 has 128 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1099008.

The previous prime is 4440071. The next prime is 4440089. The reversal of 4440072 is 2700444.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4440071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41443 + ... + 41549.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 24440072 is an apocalyptic number.

4440072 is a gapful number since it is divisible by the number (42) 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 4440072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4440072 is an abundant number, since it is smaller than the sum of its proper divisors (10075128).

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

4440072 is a wasteful number, since it uses less digits than its factorization.

4440072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 4440072 is about 2107.1478353452. The cubic root of 4440072 is about 164.3602037215.

The spelling of 4440072 in words is "four million, four hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 107 114 133 152 156 168 182 214 228 247 266 273 312 321 364 399 428 456 494 532 546 642 728 741 749 798 856 988 1064 1092 1284 1391 1482 1498 1596 1729 1976 2033 2184 2247 2568 2782 2964 2996 3192 3458 4066 4173 4494 5187 5564 5928 5992 6099 6916 8132 8346 8988 9737 10374 11128 12198 13832 14231 16264 16692 17976 19474 20748 24396 26429 28462 29211 33384 38948 41496 42693 48792 52858 56924 58422 77896 79287 85386 105716 113848 116844 158574 170772 185003 211432 233688 317148 341544 370006 555009 634296 740012 1110018 1480024 2220036 4440072