Search a number
-
+
3383869825 = 52723840713
BaseRepresentation
bin1100100110110001…
…1100000110000001
322201211100101202001
43021230130012001
523412232313300
61315440024001
7146566263460
oct31154340601
98654311661
103383869825
111487119536
127a5302001
1341c098c4b
142415ac9d7
1514c11d16a
hexc9b1c181

3383869825 has 24 divisors (see below), whose sum is σ = 5003929728. Its totient is φ = 2219479680.

The previous prime is 3383869823. The next prime is 3383869837. The reversal of 3383869825 is 5289683833.

It is a happy number.

It is not a de Polignac number, because 3383869825 - 21 = 3383869823 is a prime.

It is a super-2 number, since 2×33838698252 = 22901149985091061250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3383869823) 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 23 ways as a sum of consecutive naturals, for example, 416332 + ... + 424381.

It is an arithmetic number, because the mean of its divisors is an integer number (208497072).

Almost surely, 23383869825 is an apocalyptic number.

3383869825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3383869825 is a deficient number, since it is larger than the sum of its proper divisors (1620059903).

3383869825 is a wasteful number, since it uses less digits than its factorization.

3383869825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840753 (or 840748 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 55.

The square root of 3383869825 is about 58171.0394010628. The cubic root of 3383869825 is about 1501.3128986776.

The spelling of 3383869825 in words is "three billion, three hundred eighty-three million, eight hundred sixty-nine thousand, eight hundred twenty-five".

Divisors: 1 5 7 23 25 35 115 161 175 575 805 4025 840713 4203565 5884991 19336399 21017825 29424955 96681995 135354793 147124775 483409975 676773965 3383869825