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4045280 = 255131193
BaseRepresentation
bin1111011011100111100000
321121112002012
433123213200
52013422110
6222412052
746245551
oct17334740
97545065
104045280
112313308
121431028
13ab8375
14774328
1554d905
hex3db9e0

4045280 has 48 divisors (see below), whose sum is σ = 9679824. Its totient is φ = 1597440.

The previous prime is 4045277. The next prime is 4045289. The reversal of 4045280 is 825404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045289) by changing a digit.

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, 20864 + ... + 21056.

It is an arithmetic number, because the mean of its divisors is an integer number (201663).

Almost surely, 24045280 is an apocalyptic number.

4045280 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 4045280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839912).

4045280 is an abundant number, since it is smaller than the sum of its proper divisors (5634544).

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

4045280 is a wasteful number, since it uses less digits than its factorization.

4045280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4045280 is about 2011.2881444487. The cubic root of 4045280 is about 159.3368384859.

The spelling of 4045280 in words is "four million, forty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 193 262 386 524 655 772 965 1048 1310 1544 1930 2096 2620 3088 3860 4192 5240 6176 7720 10480 15440 20960 25283 30880 50566 101132 126415 202264 252830 404528 505660 809056 1011320 2022640 4045280