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4053016 = 231125379
BaseRepresentation
bin1111011101100000011000
321121220200201
433131200120
52014144031
6222511544
746310242
oct17354030
97556621
104053016
112319100
1214355b4
13abba46
14777092
15550d61
hex3dd818

4053016 has 48 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 1784640.

The previous prime is 4053001. The next prime is 4053019. The reversal of 4053016 is 6103504.

4053016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4052984 and 4053002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053019) 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 11 ways as a sum of consecutive naturals, for example, 51265 + ... + 51343.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 24053016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4053016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

4053016 is an abundant number, since it is smaller than the sum of its proper divisors (4565384).

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

4053016 is a wasteful number, since it uses less digits than its factorization.

4053016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 4053016 is about 2013.2103715211. The cubic root of 4053016 is about 159.4383431922.

The spelling of 4053016 in words is "four million, fifty-three thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 53 79 88 106 121 158 212 242 316 424 484 583 632 869 968 1166 1738 2332 3476 4187 4664 6413 6952 8374 9559 12826 16748 19118 25652 33496 38236 46057 51304 76472 92114 184228 368456 506627 1013254 2026508 4053016