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3946496 = 2114147
BaseRepresentation
bin1111000011100000000000
321102111120112
433003200000
52002241441
6220330452
745354551
oct17034000
97374515
103946496
112256074
1213a3a28
13a82408
1474a328
1552e4eb
hex3c3800

3946496 has 48 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 1884160.

The previous prime is 3946493. The next prime is 3946507. The reversal of 3946496 is 6946493.

3946496 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83945 + ... + 83991.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 23946496 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 3946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

3946496 is an abundant number, since it is smaller than the sum of its proper divisors (4309024).

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

3946496 is an equidigital number, since it uses as much as digits as its factorization.

3946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 139968, while the sum is 41.

The square root of 3946496 is about 1986.5789689816. The cubic root of 3946496 is about 158.0291566125.

The spelling of 3946496 in words is "three million, nine hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 47 64 82 94 128 164 188 256 328 376 512 656 752 1024 1312 1504 1927 2048 2624 3008 3854 5248 6016 7708 10496 12032 15416 20992 24064 30832 41984 48128 61664 83968 96256 123328 246656 493312 986624 1973248 3946496