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4196864 = 2971171
BaseRepresentation
bin10000000000101000000000
321220020000102
4100000220000
52033244424
6225541532
750446520
oct20005000
97806012
104196864
112407191
1214a48a8
13b3c369
147b3680
1557d7ae
hex400a00

4196864 has 40 divisors (see below), whose sum is σ = 9591648. Its totient is φ = 1797120.

The previous prime is 4196849. The next prime is 4196867. The reversal of 4196864 is 4686914.

It is a super-2 number, since 2×41968642 = 35227334868992, which contains 22 as substring.

It is a d-powerful number, because it can be written as 42 + 1 + 93 + 6 + 83 + 64 + 411 .

It is not an unprimeable number, because it can be changed into a prime (4196867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2999 + ... + 4169.

Almost surely, 24196864 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 4196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795824).

4196864 is an abundant number, since it is smaller than the sum of its proper divisors (5394784).

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

4196864 is an equidigital number, since it uses as much as digits as its factorization.

4196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1180 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 4196864 is about 2048.6249046617. The cubic root of 4196864 is about 161.3026981575.

The spelling of 4196864 in words is "four million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1171 1792 2342 3584 4684 8197 9368 16394 18736 32788 37472 65576 74944 131152 149888 262304 299776 524608 599552 1049216 2098432 4196864