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4016064 = 263131609
BaseRepresentation
bin1111010100011111000000
321120001000010
433110133000
52012003224
6222024520
746064433
oct17243700
97501003
104016064
1122a3368
121418140
13aa7c90
1476781a
15544e29
hex3d47c0

4016064 has 56 divisors (see below), whose sum is σ = 11450320. Its totient is φ = 1234944.

The previous prime is 4016059. The next prime is 4016093. The reversal of 4016064 is 4606104.

4016064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40160642 = 32257540104192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4016064.

It is a congruent number.

It is an unprimeable number.

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, 1692 + ... + 3300.

It is an arithmetic number, because the mean of its divisors is an integer number (204470).

Almost surely, 24016064 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 4016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725160).

4016064 is an abundant number, since it is smaller than the sum of its proper divisors (7434256).

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

4016064 is a wasteful number, since it uses less digits than its factorization.

4016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4016064 is about 2004.0119760121. The cubic root of 4016064 is about 158.9523214505.

The spelling of 4016064 in words is "four million, sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1609 2496 3218 4827 6436 9654 12872 19308 20917 25744 38616 41834 51488 62751 77232 83668 102976 125502 154464 167336 251004 308928 334672 502008 669344 1004016 1338688 2008032 4016064