Search a number
-
+
33628896 = 2532722383
BaseRepresentation
bin1000000001001…
…0001011100000
32100021112011200
42000102023200
532102111041
63200441200
7555561300
oct200221340
970245150
1033628896
1117a89984
12b319200
136c75972
144675600
152e441b6
hex20122e0

33628896 has 108 divisors (see below), whose sum is σ = 111292272. Its totient is φ = 9604224.

The previous prime is 33628867. The next prime is 33628901. The reversal of 33628896 is 69882633.

It is a super-2 number, since 2×336288962 = 2261805292357632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12921 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (1030484).

Almost surely, 233628896 is an apocalyptic number.

33628896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33628896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55646136).

33628896 is an abundant number, since it is smaller than the sum of its proper divisors (77663376).

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

33628896 is a wasteful number, since it uses less digits than its factorization.

33628896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2395 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 33628896 is about 5799.0426796153. The cubic root of 33628896 is about 322.7782059423.

The spelling of 33628896 in words is "thirty-three million, six hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 2383 3528 4704 4766 7056 7149 9532 14112 14298 16681 19064 21447 28596 33362 38128 42894 50043 57192 66724 76256 85788 100086 114384 116767 133448 150129 171576 200172 228768 233534 266896 300258 343152 350301 400344 467068 533792 600516 686304 700602 800688 934136 1050903 1201032 1401204 1601376 1868272 2101806 2402064 2802408 3736544 4203612 4804128 5604816 8407224 11209632 16814448 33628896