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3906714825 = 3252132575197
BaseRepresentation
bin1110100011011011…
…1011110011001001
3101002021011200020200
43220312323303021
531000104333300
61443354242413
7165545346066
oct35066736311
911067150220
103906714825
111725269742
12910426409
134a34bc3a0
14290bcdc6d
1517ce9a200
hexe8dbbcc9

3906714825 has 72 divisors (see below), whose sum is σ = 7566395928. Its totient is φ = 1915453440.

The previous prime is 3906714803. The next prime is 3906714839. The reversal of 3906714825 is 5284176093.

3906714825 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 652240521 + 3254474304 = 25539^2 + 57048^2 .

It is not a de Polignac number, because 3906714825 - 212 = 3906710729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

3906714825 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 749127 + ... + 754323.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3906714825 = 7813429650, but 3⋅3906714825 = 11720144475 is not.

Almost surely, 23906714825 is an apocalyptic number.

3906714825 is the 33410-th nonagonal number.

It is an amenable number.

3906714825 is a deficient number, since it is larger than the sum of its proper divisors (3659681103).

3906714825 is a wasteful number, since it uses less digits than its factorization.

3906714825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3906714825 is about 62503.7184893827. The cubic root of 3906714825 is about 1574.9637784565.

The spelling of 3906714825 in words is "three billion, nine hundred six million, seven hundred fourteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 257 325 585 771 975 1285 2313 2925 3341 3855 5197 6425 10023 11565 15591 16705 19275 25985 30069 46773 50115 57825 67561 77955 83525 129925 150345 202683 233865 250575 337805 389775 608049 751725 1013415 1169325 1335629 1689025 3040245 4006887 5067075 6678145 12020661 15201225 17363177 20034435 33390725 52089531 60103305 86815885 100172175 156268593 260447655 300516525 434079425 781342965 1302238275 3906714825