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8425728 = 28332353
BaseRepresentation
bin100000001001…
…000100000000
3120212001221000
4200021010000
54124110403
6500332000
7131421543
oct40110400
916761830
108425728
114835413
1229a4000
13199014c
14119485a
15b167a3
hex809100

8425728 has 144 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 2635776.

The previous prime is 8425717. The next prime is 8425741. The reversal of 8425728 is 8275248.

It is a happy number.

8425728 is a `hidden beast` number, since 84 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 82 + 42 + 212 + 56 + 75 + 223 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 8425692 and 8425701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158950 + ... + 159002.

It is an arithmetic number, because the mean of its divisors is an integer number (183960).

Almost surely, 28425728 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 8425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

8425728 is an abundant number, since it is smaller than the sum of its proper divisors (18064512).

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

8425728 is a wasteful number, since it uses less digits than its factorization.

8425728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 8425728 is about 2902.7104574862. The cubic root of 8425728 is about 203.4865982920.

The spelling of 8425728 in words is "eight million, four hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 53 54 64 69 72 92 96 106 108 128 138 144 159 184 192 207 212 216 256 276 288 318 368 384 414 424 432 477 552 576 621 636 736 768 828 848 864 954 1104 1152 1219 1242 1272 1431 1472 1656 1696 1728 1908 2208 2304 2438 2484 2544 2862 2944 3312 3392 3456 3657 3816 4416 4876 4968 5088 5724 5888 6624 6784 6912 7314 7632 8832 9752 9936 10176 10971 11448 13248 13568 14628 15264 17664 19504 19872 20352 21942 22896 26496 29256 30528 32913 39008 39744 40704 43884 45792 52992 58512 61056 65826 78016 79488 87768 91584 117024 122112 131652 156032 158976 175536 183168 234048 263304 312064 351072 366336 468096 526608 702144 936192 1053216 1404288 2106432 2808576 4212864 8425728