Search a number
-
+
2441472 = 28311172
BaseRepresentation
bin1001010100000100000000
311121001001220
421110010000
51111111342
6124155040
726515665
oct11240400
94531056
102441472
111418350
12998a80
13676377
14477a6c
153335ec
hex254100

2441472 has 108 divisors (see below), whose sum is σ = 7530096. Its totient is φ = 696320.

The previous prime is 2441459. The next prime is 2441503. The reversal of 2441472 is 2741442.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

Its product of digits (1792) is a multiple of the sum of its prime factors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143608 + ... + 143624.

22441472 is an apocalyptic number.

2441472 is a gapful number since it is divisible by the number (22) 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 2441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765048).

2441472 is an abundant number, since it is smaller than the sum of its proper divisors (5088624).

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

2441472 is a wasteful number, since it uses less digits than its factorization.

2441472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 2441472 is about 1562.5210398583. The cubic root of 2441472 is about 134.6533768976.

The spelling of 2441472 in words is "two million, four hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 289 352 374 384 408 528 544 561 578 704 748 768 816 867 1056 1088 1122 1156 1408 1496 1632 1734 2112 2176 2244 2312 2816 2992 3179 3264 3468 4224 4352 4488 4624 5984 6358 6528 6936 8448 8976 9248 9537 11968 12716 13056 13872 17952 18496 19074 23936 25432 27744 35904 36992 38148 47872 50864 55488 71808 73984 76296 101728 110976 143616 152592 203456 221952 305184 406912 610368 813824 1220736 2441472