Search a number
-
+
4442496 = 27323503
BaseRepresentation
bin10000111100100110000000
322100200221220
4100330212000
52114124441
6235115040
752521612
oct20744600
98320856
104442496
112564793
1215a2a80
13bc70c6
14838db2
155cb466
hex43c980

4442496 has 64 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 1413632.

The previous prime is 4442489. The next prime is 4442507. The reversal of 4442496 is 6942444.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8581 + ... + 9083.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 24442496 is an apocalyptic number.

4442496 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 4442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

4442496 is an abundant number, since it is smaller than the sum of its proper divisors (7895424).

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

4442496 is a wasteful number, since it uses less digits than its factorization.

4442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 531 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 4442496 is about 2107.7229419447. The cubic root of 4442496 is about 164.3901083907.

The spelling of 4442496 in words is "four million, four hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 503 552 736 1006 1104 1472 1509 2012 2208 2944 3018 4024 4416 6036 8048 8832 11569 12072 16096 23138 24144 32192 34707 46276 48288 64384 69414 92552 96576 138828 185104 193152 277656 370208 555312 740416 1110624 1480832 2221248 4442496