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4828896 = 253823
BaseRepresentation
bin10010011010111011100000
3100002100000000
4102122323200
52214011041
6251300000
756021262
oct22327340
910070000
104828896
1127a9026
12174a600
131000c47
148d9b32
15655bb6
hex49aee0

4828896 has 108 divisors (see below), whose sum is σ = 14879592. Its totient is φ = 1539648.

The previous prime is 4828871. The next prime is 4828927. The reversal of 4828896 is 6988284.

It is a happy number.

4828896 is a `hidden beast` number, since 482 + 88 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 209941 + ... + 209963.

It is an arithmetic number, because the mean of its divisors is an integer number (137774).

Almost surely, 24828896 is an apocalyptic number.

4828896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4828896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439796).

4828896 is an abundant number, since it is smaller than the sum of its proper divisors (10050696).

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

4828896 is an frugal number, since it uses more digits than its factorization.

4828896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 4828896 is about 2197.4749145326. The cubic root of 4828896 is about 169.0243537141.

It can be divided in two parts, 48288 and 96, that added together give a palindrome (48384).

The spelling of 4828896 in words is "four million, eight hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 552 621 648 729 736 828 864 972 1104 1242 1296 1458 1656 1863 1944 2187 2208 2484 2592 2916 3312 3726 3888 4374 4968 5589 5832 6561 6624 7452 7776 8748 9936 11178 11664 13122 14904 16767 17496 19872 22356 23328 26244 29808 33534 34992 44712 50301 52488 59616 67068 69984 89424 100602 104976 134136 150903 178848 201204 209952 268272 301806 402408 536544 603612 804816 1207224 1609632 2414448 4828896