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3806382825 = 325272416751
BaseRepresentation
bin1110001011100000…
…1100101011101001
3100211021101021121200
43202320030223221
530243413222300
61425411554413
7163216502010
oct34270145351
910737337550
103806382825
111683670833
128a28bba09
1348879073b
14281753a77
1517427c200
hexe2e0cae9

3806382825 has 36 divisors (see below), whose sum is σ = 7791608448. Its totient is φ = 1740060000.

The previous prime is 3806382823. The next prime is 3806382829. The reversal of 3806382825 is 5282836083.

3806382825 is a `hidden beast` number, since 3 + 8 + 0 + 638 + 2 + 8 + 2 + 5 = 666.

3806382825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3806382825 - 21 = 3806382823 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (3806382821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1206801 + ... + 1209950.

It is an arithmetic number, because the mean of its divisors is an integer number (216433568).

Almost surely, 23806382825 is an apocalyptic number.

3806382825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3806382825 is an abundant number, since it is smaller than the sum of its proper divisors (3985225623).

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

3806382825 is a wasteful number, since it uses less digits than its factorization.

3806382825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416774 (or 2416766 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3806382825 is about 61695.8898549976. The cubic root of 3806382825 is about 1561.3639759544.

The spelling of 3806382825 in words is "three billion, eight hundred six million, three hundred eighty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 2416751 7250253 12083755 16917257 21750759 36251265 50751771 60418775 84586285 108753795 152255313 181256325 253758855 422931425 543768975 761276565 1268794275 3806382825