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33942125 = 53738791
BaseRepresentation
bin1000000101111…
…0101001101101
32100212102211202
42001132221231
532142122000
63211255245
7561334430
oct201365155
970772752
1033942125
1118183248
12b44a525
1370553c9
144717817
152ea6dd5
hex205ea6d

33942125 has 16 divisors (see below), whose sum is σ = 48412416. Its totient is φ = 23274000.

The previous prime is 33942109. The next prime is 33942127. The reversal of 33942125 is 52124933.

33942125 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 33942125 - 24 = 33942109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33942127) 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 15 ways as a sum of consecutive naturals, for example, 18521 + ... + 20270.

It is an arithmetic number, because the mean of its divisors is an integer number (3025776).

Almost surely, 233942125 is an apocalyptic number.

33942125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33942125 is a deficient number, since it is larger than the sum of its proper divisors (14470291).

33942125 is an equidigital number, since it uses as much as digits as its factorization.

33942125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38813 (or 38803 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 33942125 is about 5825.9870408369. The cubic root of 33942125 is about 323.7772595225. Note that the first 3 decimals are identical.

The spelling of 33942125 in words is "thirty-three million, nine hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 125 175 875 38791 193955 271537 969775 1357685 4848875 6788425 33942125