Search a number
-
+
33204256 = 254359409
BaseRepresentation
bin111111010101…
…0100000100000
32022110221200021
41332222200200
532000014011
63143403224
7552142261
oct176524040
968427607
1033204256
1117819938
12b153514
136b575b7
1445a4968
152dad471
hex1faa820

33204256 has 48 divisors (see below), whose sum is σ = 68191200. Its totient is φ = 15902208.

The previous prime is 33204251. The next prime is 33204263. The reversal of 33204256 is 65240233.

It is a happy number.

It is a super-2 number, since 2×332042562 = 2205045233027072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33204256.

It is not an unprimeable number, because it can be changed into a prime (33204251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80980 + ... + 81388.

It is an arithmetic number, because the mean of its divisors is an integer number (1420650).

Almost surely, 233204256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33204256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34095600).

33204256 is an abundant number, since it is smaller than the sum of its proper divisors (34986944).

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

33204256 is a wasteful number, since it uses less digits than its factorization.

33204256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 33204256 is about 5762.3134243115. The cubic root of 33204256 is about 321.4138481957.

Adding to 33204256 its reverse (65240233), we get a palindrome (98444489).

The spelling of 33204256 in words is "thirty-three million, two hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 59 86 118 172 236 344 409 472 688 818 944 1376 1636 1888 2537 3272 5074 6544 10148 13088 17587 20296 24131 35174 40592 48262 70348 81184 96524 140696 193048 281392 386096 562784 772192 1037633 2075266 4150532 8301064 16602128 33204256