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33929945 = 5723113373
BaseRepresentation
bin1000000101101…
…1101011011001
32100211211010122
42001123223121
532141224240
63211123025
7561254060
oct201335331
970754118
1033929945
1118175085
12b443475
13704c9ba
1447131d7
152ea34b5
hex205bad9

33929945 has 32 divisors (see below), whose sum is σ = 49116672. Its totient is φ = 21998592.

The previous prime is 33929941. The next prime is 33929957. The reversal of 33929945 is 54992933.

33929945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33929945 - 22 = 33929941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33929896 and 33929905.

It is not an unprimeable number, because it can be changed into a prime (33929941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90779 + ... + 91151.

It is an arithmetic number, because the mean of its divisors is an integer number (1534896).

Almost surely, 233929945 is an apocalyptic number.

33929945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33929945 is a deficient number, since it is larger than the sum of its proper divisors (15186727).

33929945 is a wasteful number, since it uses less digits than its factorization.

33929945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its digits is 262440, while the sum is 44.

The square root of 33929945 is about 5824.9416306088. The cubic root of 33929945 is about 323.7385261508.

The spelling of 33929945 in words is "thirty-three million, nine hundred twenty-nine thousand, nine hundred forty-five".

Divisors: 1 5 7 23 35 113 115 161 373 565 791 805 1865 2599 2611 3955 8579 12995 13055 18193 42149 42895 60053 90965 210745 295043 300265 969427 1475215 4847135 6785989 33929945