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4138280 = 235103457
BaseRepresentation
bin1111110010010100101000
321210020122122
433302110220
52024411110
6224410412
750113646
oct17622450
97706578
104138280
112377173
121476a08
13b1b7b3
1479a196
1556b255
hex3f2528

4138280 has 16 divisors (see below), whose sum is σ = 9311220. Its totient is φ = 1655296.

The previous prime is 4138279. The next prime is 4138289. The reversal of 4138280 is 828314.

4138280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4024036 + 114244 = 2006^2 + 338^2 .

It is a super-2 number, since 2×41382802 = 34250722716800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4138289) 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 3 ways as a sum of consecutive naturals, for example, 51689 + ... + 51768.

Almost surely, 24138280 is an apocalyptic number.

4138280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4138280 is an abundant number, since it is smaller than the sum of its proper divisors (5172940).

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

4138280 is a wasteful number, since it uses less digits than its factorization.

4138280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103468 (or 103464 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4138280 is about 2034.2762840873. The cubic root of 4138280 is about 160.5486374142.

The spelling of 4138280 in words is "four million, one hundred thirty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 103457 206914 413828 517285 827656 1034570 2069140 4138280