Search a number
-
+
33686442 = 234207941
BaseRepresentation
bin1000000010000…
…0001110101010
32100101110010000
42000200032222
532110431232
63202003430
7556221126
oct200401652
970343100
1033686442
1118019139
12b346576
136c95c0a
14468c586
152e5627c
hex20203aa

33686442 has 20 divisors (see below), whose sum is σ = 75482946. Its totient is φ = 11228760.

The previous prime is 33686431. The next prime is 33686483. The reversal of 33686442 is 24468633.

It is a happy number.

33686442 is a `hidden beast` number, since 3 + 3 + 6 + 8 + 644 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23707161 + 9979281 = 4869^2 + 3159^2 .

It is a super-2 number, since 2×336864422 = 2269552749238728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33686397 and 33686406.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 103809 + ... + 104132.

Almost surely, 233686442 is an apocalyptic number.

33686442 is an abundant number, since it is smaller than the sum of its proper divisors (41796504).

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

33686442 is a wasteful number, since it uses less digits than its factorization.

33686442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207955 (or 207946 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 33686442 is about 5804.0022398342. The cubic root of 33686442 is about 322.9622144580.

The spelling of 33686442 in words is "thirty-three million, six hundred eighty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 207941 415882 623823 1247646 1871469 3742938 5614407 11228814 16843221 33686442