Search a number
-
+
4164608 = 2107283
BaseRepresentation
bin1111111000110000000000
321211120202202
433320300000
52031231413
6225132332
750253500
oct17706000
97746682
104164608
112394a28
12148a0a8
13b2a786
147a5a00
15573e58
hex3f8c00

4164608 has 66 divisors (see below), whose sum is σ = 9801036. Its totient is φ = 1763328.

The previous prime is 4164607. The next prime is 4164613. The reversal of 4164608 is 8064614.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4164607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50135 + ... + 50217.

Almost surely, 24164608 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 4164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900518).

4164608 is an abundant number, since it is smaller than the sum of its proper divisors (5636428).

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

4164608 is an equidigital number, since it uses as much as digits as its factorization.

4164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4164608 is about 2040.7371217283. The cubic root of 4164608 is about 160.8883914576. Note that the first 3 decimals are identical.

The spelling of 4164608 in words is "four million, one hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 83 98 112 128 166 196 224 256 332 392 448 512 581 664 784 896 1024 1162 1328 1568 1792 2324 2656 3136 3584 4067 4648 5312 6272 7168 8134 9296 10624 12544 16268 18592 21248 25088 32536 37184 42496 50176 65072 74368 84992 130144 148736 260288 297472 520576 594944 1041152 2082304 4164608