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863005428 = 22345095233
BaseRepresentation
bin110011011100000…
…110101011110100
32020010220012220000
4303130012223310
53231412133203
6221345111300
730246265545
oct6334065364
92203805800
10863005428
1140316482a
12201028530
13109a42acc
148288a4cc
1550b704a3
hex33706af4

863005428 has 60 divisors (see below), whose sum is σ = 2260930980. Its totient is φ = 287048448.

The previous prime is 863005421. The next prime is 863005457. The reversal of 863005428 is 824500368.

863005428 is a `hidden beast` number, since 86 + 30 + 0 + 542 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 777405924 + 85599504 = 27882^2 + 9252^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 863005392 and 863005401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863005421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 162300 + ... + 167532.

It is an arithmetic number, because the mean of its divisors is an integer number (37682183).

Almost surely, 2863005428 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 863005428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130465490).

863005428 is an abundant number, since it is smaller than the sum of its proper divisors (1397925552).

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

863005428 is a wasteful number, since it uses less digits than its factorization.

863005428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 863005428 is about 29376.9540286259. The cubic root of 863005428 is about 952.0750314542.

The spelling of 863005428 in words is "eight hundred sixty-three million, five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 509 1018 1527 2036 3054 4581 5233 6108 9162 10466 13743 15699 18324 20932 27486 31398 41229 47097 54972 62796 82458 94194 141291 164916 188388 282582 423873 565164 847746 1695492 2663597 5327194 7990791 10654388 15981582 23972373 31963164 47944746 71917119 95889492 143834238 215751357 287668476 431502714 863005428