Search a number
-
+
33149916 = 22322573583
BaseRepresentation
bin111111001110…
…1001111011100
32022101012010200
41332131033130
531441244131
63142303500
7551524662
oct176351734
968335120
1033149916
1117792028
12b127b90
136b38947
14458cc32
152d9c2e6
hex1f9d3dc

33149916 has 36 divisors (see below), whose sum is σ = 84145152. Its totient is φ = 11003904.

The previous prime is 33149887. The next prime is 33149933. The reversal of 33149916 is 61994133.

It is a tau number, because it is divible by the number of its divisors (36).

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

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7461 + ... + 11043.

Almost surely, 233149916 is an apocalyptic number.

33149916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33149916 is an abundant number, since it is smaller than the sum of its proper divisors (50995236).

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

33149916 is a wasteful number, since it uses less digits than its factorization.

33149916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3845 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 33149916 is about 5757.5963734878. The cubic root of 33149916 is about 321.2384172218.

The spelling of 33149916 in words is "thirty-three million, one hundred forty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 3583 4626 7166 9252 10749 14332 21498 32247 42996 64494 128988 920831 1841662 2762493 3683324 5524986 8287479 11049972 16574958 33149916