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3877428361 = 7328532
BaseRepresentation
bin1110011100011100…
…1101110010001001
3101000020001202202211
43213013031302021
530420110201421
61440430425121
7165041411602
oct34707156211
911006052684
103877428361
11170a786354
129026621a1
1349a407111
1428ad68da9
1517a6129e1
hexe71cdc89

3877428361 has 9 divisors (see below), whose sum is σ = 3935885589. Its totient is φ = 3819829536.

The previous prime is 3877428353. The next prime is 3877428367. The reversal of 3877428361 is 1638247783.

It is a happy number.

The square root of 3877428361 is 62269.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 810483961 + 3066944400 = 28469^2 + 55380^2 .

It is not a de Polignac number, because 3877428361 - 23 = 3877428353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3877428367) 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 8 ways as a sum of consecutive naturals, for example, 4545211 + ... + 4546063.

It is an arithmetic number, because the mean of its divisors is an integer number (437320621).

Almost surely, 23877428361 is an apocalyptic number.

3877428361 is the 62269-th square number.

3877428361 is the 31135-th centered octagonal number.

It is an amenable number.

3877428361 is a deficient number, since it is larger than the sum of its proper divisors (58457228).

3877428361 is an frugal number, since it uses more digits than its factorization.

3877428361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 926 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 49.

The cubic root of 3877428361 is about 1571.0183611768.

Multiplying 3877428361 by its sum of digits (49), we get a square (189993989689 = 4358832).

The spelling of 3877428361 in words is "three billion, eight hundred seventy-seven million, four hundred twenty-eight thousand, three hundred sixty-one".

Divisors: 1 73 853 5329 62269 727609 4545637 53115457 3877428361