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4152064 = 2872331
BaseRepresentation
bin1111110101101100000000
321210221120011
433311230000
52030331224
6224554304
750202100
oct17655400
97727504
104152064
112386564
121482994
13b24b57
147a1200
15570394
hex3f5b00

4152064 has 54 divisors (see below), whose sum is σ = 9670164. Its totient is φ = 1774080.

The previous prime is 4152061. The next prime is 4152067. The reversal of 4152064 is 4602514.

4152064 is digitally balanced in base 2, because in such base 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 (4152061) and next prime (4152067).

It is not an unprimeable number, because it can be changed into a prime (4152061) 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 5 ways as a sum of consecutive naturals, for example, 12379 + ... + 12709.

Almost surely, 24152064 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 4152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835082).

4152064 is an abundant number, since it is smaller than the sum of its proper divisors (5518100).

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

4152064 is an equidigital number, since it uses as much as digits as its factorization.

4152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4152064 is about 2037.6614046499. The cubic root of 4152064 is about 160.7266944728.

Adding to 4152064 its reverse (4602514), we get a palindrome (8754578).

The spelling of 4152064 in words is "four million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 331 392 448 662 784 896 1324 1568 1792 2317 2648 3136 4634 5296 6272 9268 10592 12544 16219 18536 21184 32438 37072 42368 64876 74144 84736 129752 148288 259504 296576 519008 593152 1038016 2076032 4152064