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6845472 = 253419139
BaseRepresentation
bin11010000111010000100000
3110212210020000
4122013100200
53223023342
6402420000
7112120434
oct32072040
913783200
106845472
113956117
122361600
131558a9a
14ca29c4
1590344c
hex687420

6845472 has 120 divisors (see below), whose sum is σ = 21344400. Its totient is φ = 2146176.

The previous prime is 6845417. The next prime is 6845519. The reversal of 6845472 is 2745486.

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 6 + 82 + 42 + 56 + 47 + 78 + 220 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49179 + ... + 49317.

It is an arithmetic number, because the mean of its divisors is an integer number (177870).

Almost surely, 26845472 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 6845472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10672200).

6845472 is an abundant number, since it is smaller than the sum of its proper divisors (14498928).

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

6845472 is a wasteful number, since it uses less digits than its factorization.

6845472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 6845472 is about 2616.3852927274. The cubic root of 6845472 is about 189.8750055077.

The spelling of 6845472 in words is "six million, eight hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 139 144 152 162 171 216 228 278 288 304 324 342 417 432 456 513 556 608 648 684 834 864 912 1026 1112 1251 1296 1368 1539 1668 1824 2052 2224 2502 2592 2641 2736 3078 3336 3753 4104 4448 5004 5282 5472 6156 6672 7506 7923 8208 10008 10564 11259 12312 13344 15012 15846 16416 20016 21128 22518 23769 24624 30024 31692 40032 42256 45036 47538 49248 60048 63384 71307 84512 90072 95076 120096 126768 142614 180144 190152 213921 253536 285228 360288 380304 427842 570456 760608 855684 1140912 1711368 2281824 3422736 6845472