Search a number
-
+
33852096 = 263258771
BaseRepresentation
bin1000000100100…
…0101011000000
32100200212100100
42001020223000
532131231341
63205322400
7560511105
oct201105300
970625310
1033852096
1118121643
12b406400
137023435
1446d2aac
152e8a3b6
hex2048ac0

33852096 has 42 divisors (see below), whose sum is σ = 97032572. Its totient is φ = 11283840.

The previous prime is 33852059. The next prime is 33852097. The reversal of 33852096 is 69025833.

It is a super-2 number, since 2×338520962 = 2291928807186432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33852096.

It is not an unprimeable number, because it can be changed into a prime (33852097) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 28810 + ... + 29961.

Almost surely, 233852096 is an apocalyptic number.

33852096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33852096 is an abundant number, since it is smaller than the sum of its proper divisors (63180476).

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

33852096 is a wasteful number, since it uses less digits than its factorization.

33852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58789 (or 58776 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 33852096 is about 5818.2554086255. The cubic root of 33852096 is about 323.4907408960.

The spelling of 33852096 in words is "thirty-three million, eight hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 58771 117542 176313 235084 352626 470168 528939 705252 940336 1057878 1410504 1880672 2115756 2821008 3761344 4231512 5642016 8463024 11284032 16926048 33852096