Search a number
-
+
4040778 = 237234789
BaseRepresentation
bin1111011010100001001010
321121021220110
433122201022
52013301103
6222335150
746226460
oct17324112
97537813
104040778
11230a995
12142a4b6
13ab62c1
14772830
1554c403
hex3da84a

4040778 has 64 divisors (see below), whose sum is σ = 9953280. Its totient is φ = 1068672.

The previous prime is 4040741. The next prime is 4040779. The reversal of 4040778 is 8770404.

4040778 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4040779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45358 + ... + 45446.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

Almost surely, 24040778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976640).

4040778 is an abundant number, since it is smaller than the sum of its proper divisors (5912502).

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

4040778 is a wasteful number, since it uses less digits than its factorization.

4040778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 4040778 is about 2010.1686496411. The cubic root of 4040778 is about 159.2777077855.

The spelling of 4040778 in words is "four million, forty thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 47 69 89 94 138 141 161 178 267 282 322 329 483 534 623 658 966 987 1081 1246 1869 1974 2047 2162 3243 3738 4094 4183 6141 6486 7567 8366 12282 12549 14329 15134 22701 25098 28658 29281 42987 45402 58562 85974 87843 96209 175686 192418 288627 577254 673463 1346926 2020389 4040778