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8226840 = 2335179383
BaseRepresentation
bin11111011000100000011000
3120110222002210
4133120200120
54101224330
6452155120
7126632646
oct37304030
916428083
108226840
114709a46
122908aa0
13192076b
141142196
15ac78b0
hex7d8818

8226840 has 64 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 2175872.

The previous prime is 8226821. The next prime is 8226857. The reversal of 8226840 is 486228.

It is a happy number.

8226840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8226798 and 8226807.

It is a congruent number.

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, 21289 + ... + 21671.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 28226840 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 8226840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

8226840 is an abundant number, since it is smaller than the sum of its proper divisors (16656360).

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

8226840 is a wasteful number, since it uses less digits than its factorization.

8226840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8226840 is about 2868.2468513013. The cubic root of 8226840 is about 201.8727427724.

The spelling of 8226840 in words is "eight million, two hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 383 537 716 766 895 1074 1149 1432 1532 1790 1915 2148 2298 2685 3064 3580 3830 4296 4596 5370 5745 7160 7660 9192 10740 11490 15320 21480 22980 45960 68557 137114 205671 274228 342785 411342 548456 685570 822684 1028355 1371140 1645368 2056710 2742280 4113420 8226840