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33129036 = 22323172903
BaseRepresentation
bin111111001100…
…0001001001100
32022100010111100
41332120021030
531440112121
63142023100
7551410053
oct176301114
968303440
1033129036
1117778376
12b117a90
136b2c2a5
14458539a
152d96026
hex1f9824c

33129036 has 36 divisors (see below), whose sum is σ = 84035952. Its totient is φ = 11004384.

The previous prime is 33129017. The next prime is 33129037. The reversal of 33129036 is 63092133.

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

It is not an unprimeable number, because it can be changed into a prime (33129037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9961 + ... + 12863.

It is an arithmetic number, because the mean of its divisors is an integer number (2334332).

Almost surely, 233129036 is an apocalyptic number.

33129036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33129036 is an abundant number, since it is smaller than the sum of its proper divisors (50906916).

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

33129036 is a wasteful number, since it uses less digits than its factorization.

33129036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 33129036 is about 5755.7828312055. The cubic root of 33129036 is about 321.1709573534.

The spelling of 33129036 in words is "thirty-three million, one hundred twenty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 2903 3804 5706 5806 8709 11412 11612 17418 26127 34836 52254 104508 920251 1840502 2760753 3681004 5521506 8282259 11043012 16564518 33129036