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4050464 = 251137311
BaseRepresentation
bin1111011100111000100000
321121210012012
433130320200
52014103324
6222452052
746266635
oct17347040
97553165
104050464
1123171a0
121434028
13aba832
1477618c
1555020e
hex3dce20

4050464 has 48 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 1785600.

The previous prime is 4050457. The next prime is 4050469. The reversal of 4050464 is 4640504.

It is a happy number.

4050464 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4050469) 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 7 ways as a sum of consecutive naturals, for example, 12869 + ... + 13179.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 24050464 is an apocalyptic number.

4050464 is a gapful number since it is divisible by the number (44) 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 4050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

4050464 is an abundant number, since it is smaller than the sum of its proper divisors (4912672).

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

4050464 is a wasteful number, since it uses less digits than its factorization.

4050464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4050464 is about 2012.5764581749. The cubic root of 4050464 is about 159.4048724730.

Adding to 4050464 its reverse (4640504), we get a palindrome (8690968).

The spelling of 4050464 in words is "four million, fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 311 352 407 592 622 814 1184 1244 1628 2488 3256 3421 4976 6512 6842 9952 11507 13024 13684 23014 27368 46028 54736 92056 109472 126577 184112 253154 368224 506308 1012616 2025232 4050464