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804028064 = 25721812833
BaseRepresentation
bin101111111011000…
…111111010100000
32002000220212011012
4233323013322200
53121312344224
6211441040052
725632061100
oct5773077240
92060825135
10804028064
11382942204
121a5326028
13ca763468
1478ad7200
154a8c080e
hex2fec7ea0

804028064 has 72 divisors (see below), whose sum is σ = 1852194708. Its totient is φ = 342558720.

The previous prime is 804028063. The next prime is 804028087. The reversal of 804028064 is 460820408.

It can be written as a sum of positive squares in 2 ways, for example, as 685392400 + 118635664 = 26180^2 + 10892^2 .

It is a super-2 number, since 2×8040280642 = 1292922255399176192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 804028064.

It is not an unprimeable number, because it can be changed into a prime (804028063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282392 + ... + 285224.

Almost surely, 2804028064 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 804028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926097354).

804028064 is an abundant number, since it is smaller than the sum of its proper divisors (1048166644).

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

804028064 is a wasteful number, since it uses less digits than its factorization.

804028064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 804028064 is about 28355.3886236814. The cubic root of 804028064 is about 929.8732104487.

The spelling of 804028064 in words is "eight hundred four million, twenty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 181 196 224 362 392 724 784 1267 1448 1568 2534 2833 2896 5068 5666 5792 8869 10136 11332 17738 19831 20272 22664 35476 39662 40544 45328 70952 79324 90656 138817 141904 158648 277634 283808 317296 512773 555268 634592 1025546 1110536 2051092 2221072 3589411 4102184 4442144 7178822 8204368 14357644 16408736 25125877 28715288 50251754 57430576 100503508 114861152 201007016 402014032 804028064