Search a number
-
+
4082080 = 25531823
BaseRepresentation
bin1111100100100110100000
321200101120011
433210212200
52021111310
6223254304
746461052
oct17444640
97611504
104082080
112338a22
12144a394
13acc042
147838d2
1555978a
hex3e49a0

4082080 has 48 divisors (see below), whose sum is σ = 9967104. Its totient is φ = 1578240.

The previous prime is 4082053. The next prime is 4082101. The reversal of 4082080 is 802804.

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, 4549 + ... + 5371.

It is an arithmetic number, because the mean of its divisors is an integer number (207648).

Almost surely, 24082080 is an apocalyptic number.

4082080 is a gapful number since it is divisible by the number (40) 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 4082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983552).

4082080 is an abundant number, since it is smaller than the sum of its proper divisors (5885024).

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

4082080 is a wasteful number, since it uses less digits than its factorization.

4082080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4082080 is about 2020.4157987899. The cubic root of 4082080 is about 159.8185442892.

Adding to 4082080 its reverse (802804), we get a palindrome (4884884).

The spelling of 4082080 in words is "four million, eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 823 992 1240 1646 2480 3292 4115 4960 6584 8230 13168 16460 25513 26336 32920 51026 65840 102052 127565 131680 204104 255130 408208 510260 816416 1020520 2041040 4082080