Search a number
-
+
33286428 = 22327235743
BaseRepresentation
bin111111011111…
…0100100011100
32022122010101200
41332332210130
532010131203
63145235500
7552633660
oct176764434
968563350
1033286428
111787564a
12b192b90
136b85b16
1445c68a0
152dc79a3
hex1fbe91c

33286428 has 72 divisors (see below), whose sum is σ = 100359168. Its totient is φ = 9095328.

The previous prime is 33286427. The next prime is 33286439. The reversal of 33286428 is 82468233.

33286428 is a `hidden beast` number, since 3 + 3 + 2 + 8 + 642 + 8 = 666.

It is a super-2 number, since 2×332864282 = 2215972577998368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 33286392 and 33286401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33286427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925 + ... + 8667.

Almost surely, 233286428 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 33286428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50179584).

33286428 is an abundant number, since it is smaller than the sum of its proper divisors (67072740).

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

33286428 is a wasteful number, since it uses less digits than its factorization.

33286428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5778 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 33286428 is about 5769.4391408524. The cubic root of 33286428 is about 321.6787686690.

The spelling of 33286428 in words is "thirty-three million, two hundred eighty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5743 5796 11486 17229 22972 34458 40201 51687 68916 80402 103374 120603 132089 160804 206748 241206 264178 361809 396267 482412 528356 723618 792534 924623 1188801 1447236 1585068 1849246 2377602 2773869 3698492 4755204 5547738 8321607 11095476 16643214 33286428