Search a number
-
+
33798642 = 235633107
BaseRepresentation
bin1000000011101…
…1100111110010
32100121011000120
42000323213302
532123024032
63204231110
7560166213
oct200734762
970534016
1033798642
1118095469
12b39b496
137004cc7
1446bb40a
152e7962c
hex203b9f2

33798642 has 8 divisors (see below), whose sum is σ = 67597296. Its totient is φ = 11266212.

The previous prime is 33798617. The next prime is 33798647. The reversal of 33798642 is 24689733.

33798642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

33798642 is an admirable number.

It is a super-2 number, since 2×337986422 = 2284696402088328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33798594 and 33798603.

It is not an unprimeable number, because it can be changed into a prime (33798647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2816548 + ... + 2816559.

It is an arithmetic number, because the mean of its divisors is an integer number (8449662).

Almost surely, 233798642 is an apocalyptic number.

33798642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

33798642 is a wasteful number, since it uses less digits than its factorization.

33798642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633112.

The product of its digits is 217728, while the sum is 42.

The square root of 33798642 is about 5813.6599487758. The cubic root of 33798642 is about 323.3203823298.

It can be divided in two parts, 3379 and 8642, that added together give a palindrome (12021).

The spelling of 33798642 in words is "thirty-three million, seven hundred ninety-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 5633107 11266214 16899321 33798642