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3948828 = 22313171489
BaseRepresentation
bin1111000100000100011100
321102121202220
433010010130
52002330303
6220345340
745364422
oct17040434
97377686
103948828
1122578a4
1213a5250
13a834b0
1474b112
15530053
hex3c411c

3948828 has 48 divisors (see below), whose sum is σ = 10513440. Its totient is φ = 1142784.

The previous prime is 3948821. The next prime is 3948839. The reversal of 3948828 is 8288493.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3948828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908 + ... + 3396.

It is an arithmetic number, because the mean of its divisors is an integer number (219030).

Almost surely, 23948828 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 3948828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256720).

3948828 is an abundant number, since it is smaller than the sum of its proper divisors (6564612).

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

3948828 is a wasteful number, since it uses less digits than its factorization.

3948828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1524 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 3948828 is about 1987.1658209621. The cubic root of 3948828 is about 158.0602771668.

The spelling of 3948828 in words is "three million, nine hundred forty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 1489 2652 2978 4467 5956 8934 17868 19357 25313 38714 50626 58071 75939 77428 101252 116142 151878 232284 303756 329069 658138 987207 1316276 1974414 3948828