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4064016 = 2431143179
BaseRepresentation
bin1111100000001100010000
321122110210010
433200030100
52020022031
6223034520
746354305
oct17401420
97573703
104064016
1123263a0
12143ba40
13ac3a58
1477b0ac
15554246
hex3e0310

4064016 has 80 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 1196160.

The previous prime is 4063991. The next prime is 4064023. The reversal of 4064016 is 6104604.

It is a junction number, because it is equal to n+sod(n) for n = 4063983 and 4064001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22615 + ... + 22793.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 24064016 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 4064016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

4064016 is an abundant number, since it is smaller than the sum of its proper divisors (7720944).

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

4064016 is a wasteful number, since it uses less digits than its factorization.

4064016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

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

The square root of 4064016 is about 2015.9404753117. The cubic root of 4064016 is about 159.5824529550.

The spelling of 4064016 in words is "four million, sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 179 258 264 344 358 473 516 528 537 688 716 946 1032 1074 1419 1432 1892 1969 2064 2148 2838 2864 3784 3938 4296 5676 5907 7568 7697 7876 8592 11352 11814 15394 15752 22704 23091 23628 30788 31504 46182 47256 61576 84667 92364 94512 123152 169334 184728 254001 338668 369456 508002 677336 1016004 1354672 2032008 4064016