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3133725 = 352747127
BaseRepresentation
bin1011111101000100011101
312220012122220
423331010131
51300234400
6151055553
735431140
oct13750435
95805586
103133725
111850461
1210715b9
1385949a
145b8057
1541d7a0
hex2fd11d

3133725 has 48 divisors (see below), whose sum is σ = 6094848. Its totient is φ = 1391040.

The previous prime is 3133721. The next prime is 3133733. The reversal of 3133725 is 5273313.

It is not a de Polignac number, because 3133725 - 22 = 3133721 is a prime.

Its product of digits (1890) is a multiple of the sum of its prime divisors (189).

3133725 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3133695 and 3133704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133721) 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 47 ways as a sum of consecutive naturals, for example, 24612 + ... + 24738.

It is an arithmetic number, because the mean of its divisors is an integer number (126976).

Almost surely, 23133725 is an apocalyptic number.

3133725 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3133725 is a deficient number, since it is larger than the sum of its proper divisors (2961123).

3133725 is a wasteful number, since it uses less digits than its factorization.

3133725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 189 counting only the distinct ones).

The product of its digits is 1890, while the sum is 24.

The square root of 3133725 is about 1770.2330355069. The cubic root of 3133725 is about 146.3368247683.

The spelling of 3133725 in words is "three million, one hundred thirty-three thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 47 75 105 127 141 175 235 329 381 525 635 705 889 987 1175 1645 1905 2667 3175 3525 4445 4935 5969 8225 9525 13335 17907 22225 24675 29845 41783 66675 89535 125349 149225 208915 447675 626745 1044575 3133725