Search a number
-
+
4013776 = 241323839
BaseRepresentation
bin1111010011111011010000
321112220212101
433103323100
52011420101
6222010144
746054654
oct17237320
97486771
104013776
1122a1678
121416954
13aa6c20
14766a64
15544401
hex3d3ed0

4013776 has 40 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 1769856.

The previous prime is 4013761. The next prime is 4013783. The reversal of 4013776 is 6773104.

It is a super-2 number, since 2×40137762 = 32220795556352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4365 + ... + 5203.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 24013776 is an apocalyptic number.

4013776 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 4013776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

4013776 is an abundant number, since it is smaller than the sum of its proper divisors (4735664).

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

4013776 is a wasteful number, since it uses less digits than its factorization.

4013776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 4013776 is about 2003.4410398113. The cubic root of 4013776 is about 158.9221300327.

The spelling of 4013776 in words is "four million, thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 839 1196 1678 2392 3356 4784 6712 10907 13424 19297 21814 38594 43628 77188 87256 154376 174512 250861 308752 501722 1003444 2006888 4013776