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8228848 = 242359379
BaseRepresentation
bin11111011000111111110000
3120111001212011
4133120333300
54101310343
6452212304
7126641545
oct37307760
916431764
108228848
114710501
12290a094
131921654
141142bcc
15ac829d
hex7d8ff0

8228848 has 40 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 3858624.

The previous prime is 8228827. The next prime is 8228863. The reversal of 8228848 is 8488228.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8228848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21523 + ... + 21901.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 28228848 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 8228848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

8228848 is an abundant number, since it is smaller than the sum of its proper divisors (8734352).

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

8228848 is a wasteful number, since it uses less digits than its factorization.

8228848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its digits is 65536, while the sum is 40.

The square root of 8228848 is about 2868.5968695514. The cubic root of 8228848 is about 201.8891657445.

The spelling of 8228848 in words is "eight million, two hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 379 472 758 944 1357 1516 2714 3032 5428 6064 8717 10856 17434 21712 22361 34868 44722 69736 89444 139472 178888 357776 514303 1028606 2057212 4114424 8228848