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3825409640 = 235132565889
BaseRepresentation
bin1110010000000011…
…0001111001101000
3100212121011221111112
43210000301321220
530313301102030
61431331445452
7163540305533
oct34400617150
910777157445
103825409640
111693386978
128a9156888
1348c6c2c00
142840a7a1a
15175c89a95
hexe4031e68

3825409640 has 48 divisors (see below), whose sum is σ = 9320208300. Its totient is φ = 1412456448.

The previous prime is 3825409619. The next prime is 3825409681. The reversal of 3825409640 is 469045283.

It can be written as a sum of positive squares in 6 ways, for example, as 363970084 + 3461439556 = 19078^2 + 58834^2 .

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 11 ways as a sum of consecutive naturals, for example, 276185 + ... + 289704.

Almost surely, 23825409640 is an apocalyptic number.

It is an amenable number.

3825409640 is an abundant number, since it is smaller than the sum of its proper divisors (5494798660).

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

3825409640 is a wasteful number, since it uses less digits than its factorization.

3825409640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565926 (or 565909 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 3825409640 is about 61849.8960387162. The cubic root of 3825409640 is about 1563.9612292332.

The spelling of 3825409640 in words is "three billion, eight hundred twenty-five million, four hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 565889 1131778 2263556 2829445 4527112 5658890 7356557 11317780 14713114 22635560 29426228 36782785 58852456 73565570 95635241 147131140 191270482 294262280 382540964 478176205 765081928 956352410 1912704820 3825409640