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4052240 = 245373
BaseRepresentation
bin1111011101010100010000
321121212121222
433131110100
52014132430
6222504212
746305053
oct17352420
97555558
104052240
112318565
121435068
13abb59a
14776a9a
155509e5
hex3dd510

4052240 has 40 divisors (see below), whose sum is σ = 9683160. Its totient is φ = 1577088.

The previous prime is 4052231. The next prime is 4052249. The reversal of 4052240 is 422504.

4052240 = T69 + T70 + ... + T290.

4052240 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 an interprime number because it is at equal distance from previous prime (4052231) and next prime (4052249).

It can be written as a sum of positive squares in 4 ways, for example, as 1336336 + 2715904 = 1156^2 + 1648^2 .

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

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4052249) 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, 109502 + ... + 109538.

It is an arithmetic number, because the mean of its divisors is an integer number (242079).

Almost surely, 24052240 is an apocalyptic number.

4052240 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 4052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841580).

4052240 is an abundant number, since it is smaller than the sum of its proper divisors (5630920).

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

4052240 is an frugal number, since it uses more digits than its factorization.

4052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4052240 is about 2013.0176352928. The cubic root of 4052240 is about 159.4281670624.

Adding to 4052240 its reverse (422504), we get a palindrome (4474744).

The spelling of 4052240 in words is "four million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1369 1480 2738 2960 5476 6845 10952 13690 21904 27380 50653 54760 101306 109520 202612 253265 405224 506530 810448 1013060 2026120 4052240