Search a number
-
+
33828465 = 3511613361
BaseRepresentation
bin1000000100001…
…0111001110001
32100122122221010
42001002321301
532130002330
63205021133
7560352156
oct201027161
970578833
1033828465
1118105910
12b3b47a9
137015758
1446c822d
152e833b0
hex2042e71

33828465 has 32 divisors (see below), whose sum is σ = 60031872. Its totient is φ = 16128000.

The previous prime is 33828439. The next prime is 33828467. The reversal of 33828465 is 56482833.

It is not a de Polignac number, because 33828465 - 25 = 33828433 is a prime.

It is a super-3 number, since 3×338284653 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33828467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8385 + ... + 11745.

It is an arithmetic number, because the mean of its divisors is an integer number (1875996).

Almost surely, 233828465 is an apocalyptic number.

It is an amenable number.

33828465 is a deficient number, since it is larger than the sum of its proper divisors (26203407).

33828465 is a wasteful number, since it uses less digits than its factorization.

33828465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441.

The product of its digits is 138240, while the sum is 39.

The square root of 33828465 is about 5816.2242907233. The cubic root of 33828465 is about 323.4154507362.

The spelling of 33828465 in words is "thirty-three million, eight hundred twenty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 61 165 183 305 671 915 2013 3355 3361 10065 10083 16805 36971 50415 110913 184855 205021 554565 615063 1025105 2255231 3075315 6765693 11276155 33828465