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284076052 = 2213172111523
BaseRepresentation
bin10000111011101…
…010100000010100
3201210112120002021
4100323222200110
51040210413202
644104422524
710016415031
oct2073524024
9653476067
10284076052
111363985a7
127b177a44
1346b13a50
1429a2a388
1519e15a37
hex10eea814

284076052 has 48 divisors (see below), whose sum is σ = 569927232. Its totient is φ = 122734080.

The previous prime is 284076029. The next prime is 284076053. The reversal of 284076052 is 250670482.

284076052 is digitally balanced in base 3, 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 (34).

It is a junction number, because it is equal to n+sod(n) for n = 284075999 and 284076017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284076053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185763 + ... + 187285.

It is an arithmetic number, because the mean of its divisors is an integer number (11873484).

Almost surely, 2284076052 is an apocalyptic number.

It is an amenable number.

284076052 is an abundant number, since it is smaller than the sum of its proper divisors (285851180).

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

284076052 is a wasteful number, since it uses less digits than its factorization.

284076052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 284076052 is about 16854.5558232782. Note that the first 3 decimals coincide. The cubic root of 284076052 is about 657.3725136548.

The spelling of 284076052 in words is "two hundred eighty-four million, seventy-six thousand, fifty-two".

Divisors: 1 2 4 13 17 26 34 52 68 211 221 422 442 844 884 1523 2743 3046 3587 5486 6092 7174 10972 14348 19799 25891 39598 46631 51782 79196 93262 103564 186524 321353 336583 642706 673166 1285412 1346332 4177589 5463001 8355178 10926002 16710356 21852004 71019013 142038026 284076052