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4034013825 = 352294343133
BaseRepresentation
bin1111000001110010…
…0010101010000001
3101102010201010122110
43300130202222001
531230201420300
61504142525533
7201652360152
oct36034425201
911363633573
104034013825
111790106326
12946b968a9
134c39a063a
142a3a89929
15189243550
hexf0722a81

4034013825 has 48 divisors (see below), whose sum is σ = 7060173120. Its totient is φ = 2028929280.

The previous prime is 4034013817. The next prime is 4034013833. The reversal of 4034013825 is 5283104304.

It is an interprime number because it is at equal distance from previous prime (4034013817) and next prime (4034013833).

It is not a de Polignac number, because 4034013825 - 23 = 4034013817 is a prime.

It is a super-2 number, since 2×40340138252 = 32546535080582261250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4034013792 and 4034013801.

It is an unprimeable number.

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, 71959 + ... + 115091.

It is an arithmetic number, because the mean of its divisors is an integer number (147086940).

Almost surely, 24034013825 is an apocalyptic number.

It is an amenable number.

4034013825 is a deficient number, since it is larger than the sum of its proper divisors (3026159295).

4034013825 is a wasteful number, since it uses less digits than its factorization.

4034013825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43218 (or 43213 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4034013825 is about 63513.8868673615. The cubic root of 4034013825 is about 1591.8878233428.

The spelling of 4034013825 in words is "four billion, thirty-four million, thirteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 29 43 75 87 129 145 215 435 645 725 1075 1247 2175 3225 3741 6235 18705 31175 43133 93525 129399 215665 646995 1078325 1250857 1854719 3234975 3752571 5564157 6254285 9273595 18762855 27820785 31271425 46367975 53786851 93814275 139103925 161360553 268934255 806802765 1344671275 4034013825