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3957382196 = 22173349577
BaseRepresentation
bin1110101111100000…
…1101110000110100
3101012210111211210222
43223320031300310
531101042212241
61452404233512
7200032123265
oct35370156064
911183454728
103957382196
1117509258a9
1292539b898
134b0b4c491
1429781c96c
15182657a4b
hexebe0dc34

3957382196 has 48 divisors (see below), whose sum is σ = 7392042000. Its totient is φ = 1853743104.

The previous prime is 3957382183. The next prime is 3957382199. The reversal of 3957382196 is 6912837593.

It can be written as a sum of positive squares in 8 ways, for example, as 988222096 + 2969160100 = 31436^2 + 54490^2 .

Its product of digits (2449440) is a multiple of the sum of its prime divisors (945).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957382199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6858260 + ... + 6858836.

It is an arithmetic number, because the mean of its divisors is an integer number (154000875).

Almost surely, 23957382196 is an apocalyptic number.

It is an amenable number.

3957382196 is a deficient number, since it is larger than the sum of its proper divisors (3434659804).

3957382196 is a wasteful number, since it uses less digits than its factorization.

3957382196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 945 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 53.

The square root of 3957382196 is about 62907.7276334156. The cubic root of 3957382196 is about 1581.7432817516.

The spelling of 3957382196 in words is "three billion, nine hundred fifty-seven million, three hundred eighty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 17 34 68 289 349 577 578 698 1154 1156 1396 2308 4913 5933 9809 9826 11866 19618 19652 23732 39236 100861 166753 201373 201722 333506 402746 403444 667012 805492 1714637 2834801 3423341 3429274 5669602 6846682 6858548 11339204 13693364 58196797 116393594 232787188 989345549 1978691098 3957382196