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4052016 = 2432191481
BaseRepresentation
bin1111011101010000110000
321121212022200
433131100300
52014131031
6222503200
746304313
oct17352060
97555280
104052016
112318381
121434b00
13abb457
1477697a
155508e6
hex3dd430

4052016 has 60 divisors (see below), whose sum is σ = 11944920. Its totient is φ = 1278720.

The previous prime is 4051991. The next prime is 4052021. The reversal of 4052016 is 6102504.

It is a happy number.

4052016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 4052016.

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 11 ways as a sum of consecutive naturals, for example, 1996 + ... + 3476.

It is an arithmetic number, because the mean of its divisors is an integer number (199082).

Almost surely, 24052016 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 4052016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972460).

4052016 is an abundant number, since it is smaller than the sum of its proper divisors (7892904).

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

4052016 is a wasteful number, since it uses less digits than its factorization.

4052016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4052016 is about 2012.9619966606. The cubic root of 4052016 is about 159.4252293812.

The spelling of 4052016 in words is "four million, fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1481 2736 2962 4443 5924 8886 11848 13329 17772 23696 26658 28139 35544 53316 56278 71088 84417 106632 112556 168834 213264 225112 253251 337668 450224 506502 675336 1013004 1350672 2026008 4052016