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4064928 = 253723263
BaseRepresentation
bin1111100000011010100000
321122112000220
433200122200
52020034203
6223043040
746360050
oct17403240
97575026
104064928
11232704a
121440480
13ac42aa
1477b560
15554653
hex3e06a0

4064928 has 96 divisors (see below), whose sum is σ = 12773376. Its totient is φ = 1106688.

The previous prime is 4064909. The next prime is 4064933. The reversal of 4064928 is 8294604.

It is a tau number, because it is divible by the number of its divisors (96).

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, 15325 + ... + 15587.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

Almost surely, 24064928 is an apocalyptic number.

4064928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386688).

4064928 is an abundant number, since it is smaller than the sum of its proper divisors (8708448).

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

4064928 is a wasteful number, since it uses less digits than its factorization.

4064928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4064928 is about 2016.1666597779. The cubic root of 4064928 is about 159.5943892852.

The spelling of 4064928 in words is "four million, sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 263 276 322 336 368 483 526 552 644 672 736 789 966 1052 1104 1288 1578 1841 1932 2104 2208 2576 3156 3682 3864 4208 5152 5523 6049 6312 7364 7728 8416 11046 12098 12624 14728 15456 18147 22092 24196 25248 29456 36294 42343 44184 48392 58912 72588 84686 88368 96784 127029 145176 169372 176736 193568 254058 290352 338744 508116 580704 677488 1016232 1354976 2032464 4064928