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3825836874 = 23494125097
BaseRepresentation
bin1110010000001001…
…1010001101001010
3100212121222122120000
43210002122031022
530313403234444
61431344543430
7163544035236
oct34402321512
910777878500
103825836874
111693648962
128a9321b76
1348c812502
142841795c6
15175d21469
hexe409a34a

3825836874 has 40 divisors (see below), whose sum is σ = 8582160708. Its totient is φ = 1273872960.

The previous prime is 3825836869. The next prime is 3825836879. The reversal of 3825836874 is 4786385283.

It is an interprime number because it is at equal distance from previous prime (3825836869) and next prime (3825836879).

It can be written as a sum of positive squares in 2 ways, for example, as 3817386225 + 8450649 = 61785^2 + 2907^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3825836874.

It is not an unprimeable number, because it can be changed into a prime (3825836879) 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 19 ways as a sum of consecutive naturals, for example, 139894 + ... + 164990.

Almost surely, 23825836874 is an apocalyptic number.

3825836874 is an abundant number, since it is smaller than the sum of its proper divisors (4756323834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3825836874 is a wasteful number, since it uses less digits than its factorization.

3825836874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26052 (or 26043 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3825836874 is about 61853.3497395250. The cubic root of 3825836874 is about 1564.0194497988.

The spelling of 3825836874 in words is "three billion, eight hundred twenty-five million, eight hundred thirty-six thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 941 1882 2823 5646 8469 16938 25097 25407 50194 50814 75291 76221 150582 152442 225873 451746 677619 1355238 2032857 4065714 23616277 47232554 70848831 141697662 212546493 425092986 637639479 1275278958 1912918437 3825836874