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3538882361 = 7272222089
BaseRepresentation
bin1101001011101111…
…0000111100111001
3100010122000211222002
43102323300330321
524221423213421
61343054310345
7153461001200
oct32273607471
910118024862
103538882361
111556674773
128291b83b5
13445231541
14258000237
1515aa3cb0b
hexd2ef0f39

3538882361 has 6 divisors (see below), whose sum is σ = 4116659130. Its totient is φ = 3033327696.

The previous prime is 3538882351. The next prime is 3538882381. The reversal of 3538882361 is 1632888353.

It can be written as a sum of positive squares in only one way, i.e., 3142275136 + 396607225 = 56056^2 + 19915^2 .

It is not a de Polignac number, because 3538882361 - 222 = 3534688057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3538882351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36110996 + ... + 36111093.

It is an arithmetic number, because the mean of its divisors is an integer number (686109855).

Almost surely, 23538882361 is an apocalyptic number.

It is an amenable number.

3538882361 is a deficient number, since it is larger than the sum of its proper divisors (577776769).

3538882361 is an equidigital number, since it uses as much as digits as its factorization.

3538882361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72222103 (or 72222096 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 3538882361 is about 59488.5061251331. The cubic root of 3538882361 is about 1523.8961623796.

The spelling of 3538882361 in words is "three billion, five hundred thirty-eight million, eight hundred eighty-two thousand, three hundred sixty-one".

Divisors: 1 7 49 72222089 505554623 3538882361