Search a number
-
+
33768896 = 26775377
BaseRepresentation
bin1000000011010…
…0010111000000
32100112122012212
42000310113000
532121101041
63203441252
7560013410
oct200642700
970478185
1033768896
1118075087
12b386228
136cc45c5
1446b0640
152e708eb
hex20345c0

33768896 has 28 divisors (see below), whose sum is σ = 76584048. Its totient is φ = 14472192.

The previous prime is 33768893. The next prime is 33768967. The reversal of 33768896 is 69886733.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×337688962 = 2280676674117632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33768893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37241 + ... + 38136.

Almost surely, 233768896 is an apocalyptic number.

It is an amenable number.

33768896 is an abundant number, since it is smaller than the sum of its proper divisors (42815152).

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

33768896 is an equidigital number, since it uses as much as digits as its factorization.

33768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75396 (or 75386 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 50.

The square root of 33768896 is about 5811.1011004800. The cubic root of 33768896 is about 323.2255036568.

The spelling of 33768896 in words is "thirty-three million, seven hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 75377 150754 301508 527639 603016 1055278 1206032 2110556 2412064 4221112 4824128 8442224 16884448 33768896