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4129280 = 2951613
BaseRepresentation
bin1111110000001000000000
321202210022022
433300020000
52024114110
6224301012
750045501
oct17601000
97683268
104129280
112370431
121471768
13b1767c
14796ba8
15568755
hex3f0200

4129280 has 40 divisors (see below), whose sum is σ = 9906732. Its totient is φ = 1650688.

The previous prime is 4129243. The next prime is 4129309. The reversal of 4129280 is 829214.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 256 = 2032^2 + 16^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1754 + ... + 3366.

Almost surely, 24129280 is an apocalyptic number.

4129280 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 4129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953366).

4129280 is an abundant number, since it is smaller than the sum of its proper divisors (5777452).

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

4129280 is an equidigital number, since it uses as much as digits as its factorization.

4129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4129280 is about 2032.0629911496. The cubic root of 4129280 is about 160.4321649912.

The spelling of 4129280 in words is "four million, one hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1613 2560 3226 6452 8065 12904 16130 25808 32260 51616 64520 103232 129040 206464 258080 412928 516160 825856 1032320 2064640 4129280