Search a number
-
+
4040700736 = 26377972141
BaseRepresentation
bin1111000011011000…
…0011001101000000
3101102121021212100211
43300312003031000
531233404410421
61504542123504
7202063250422
oct36066031500
911377255324
104040700736
1117939632a6
12949280594
134c51a21a7
142a490a812
15189b149e1
hexf0d83340

4040700736 has 56 divisors (see below), whose sum is σ = 8249159016. Its totient is φ = 1962362880.

The previous prime is 4040700661. The next prime is 4040700793. The reversal of 4040700736 is 6370070404.

It can be written as a sum of positive squares in 4 ways, for example, as 2468102400 + 1572598336 = 49680^2 + 39656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4040700698 and 4040700707.

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, 1886226 + ... + 1888366.

It is an arithmetic number, because the mean of its divisors is an integer number (147306411).

Almost surely, 24040700736 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 4040700736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124579508).

4040700736 is an abundant number, since it is smaller than the sum of its proper divisors (4208458280).

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

4040700736 is a wasteful number, since it uses less digits than its factorization.

4040700736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 4040700736 is about 63566.5064007768. The cubic root of 4040700736 is about 1592.7669259224.

The spelling of 4040700736 in words is "four billion, forty million, seven hundred thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 797 1184 1594 2141 2368 3188 4282 6376 8564 12752 17128 25504 29489 34256 51008 58978 68512 79217 117956 137024 158434 235912 316868 471824 633736 943648 1267472 1706377 1887296 2534944 3412754 5069888 6825508 13651016 27302032 54604064 63135949 109208128 126271898 252543796 505087592 1010175184 2020350368 4040700736