Search a number
-
+
33097040 = 245413713
BaseRepresentation
bin111111001000…
…0010101010000
32022021111121022
41332100111100
531433101130
63141215012
7551214554
oct176202520
968244538
1033097040
1117756329
12b101468
136b1a862
144577864
152d8b7e5
hex1f90550

33097040 has 20 divisors (see below), whose sum is σ = 76950804. Its totient is φ = 13238784.

The previous prime is 33097039. The next prime is 33097061. The reversal of 33097040 is 4079033.

It can be written as a sum of positive squares in 2 ways, for example, as 6512704 + 26584336 = 2552^2 + 5156^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 206777 + ... + 206936.

Almost surely, 233097040 is an apocalyptic number.

It is an amenable number.

33097040 is an abundant number, since it is smaller than the sum of its proper divisors (43853764).

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

33097040 is a wasteful number, since it uses less digits than its factorization.

33097040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413726 (or 413720 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 33097040 is about 5753.0026942458. The cubic root of 33097040 is about 321.0675284865.

The spelling of 33097040 in words is "thirty-three million, ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 413713 827426 1654852 2068565 3309704 4137130 6619408 8274260 16548520 33097040