Search a number
-
+
5873472 = 263411103
BaseRepresentation
bin10110011001111101000000
3102001101220000
4112121331000
53000422342
6325520000
7100631553
oct26317500
912041800
105873472
113351910
121b73000
1312a8537
14acc69a
157b044c
hex599f40

5873472 has 140 divisors (see below), whose sum is σ = 19178016. Its totient is φ = 1762560.

The previous prime is 5873471. The next prime is 5873473. The reversal of 5873472 is 2743785.

5873472 is a `hidden beast` number, since 587 + 3 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (5873471) and next prime (5873473).

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

It is a d-powerful number, because it can be written as 56 + 82 + 77 + 32 + 47 + 77 + 222 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5873471) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 56973 + ... + 57075.

Almost surely, 25873472 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 5873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589008).

5873472 is an abundant number, since it is smaller than the sum of its proper divisors (13304544).

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

5873472 is a wasteful number, since it uses less digits than its factorization.

5873472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 5873472 is about 2423.5247058778. The cubic root of 5873472 is about 180.4256592853.

The spelling of 5873472 in words is "five million, eight hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 103 108 132 144 162 176 192 198 206 216 264 288 297 309 324 352 396 412 432 528 576 594 618 648 704 792 824 864 891 927 1056 1133 1188 1236 1296 1584 1648 1728 1782 1854 2112 2266 2376 2472 2592 2781 3168 3296 3399 3564 3708 4532 4752 4944 5184 5562 6336 6592 6798 7128 7416 8343 9064 9504 9888 10197 11124 13596 14256 14832 16686 18128 19008 19776 20394 22248 27192 28512 29664 30591 33372 36256 40788 44496 54384 57024 59328 61182 66744 72512 81576 88992 91773 108768 122364 133488 163152 177984 183546 217536 244728 266976 326304 367092 489456 533952 652608 734184 978912 1468368 1957824 2936736 5873472