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641427776 = 26112113733
BaseRepresentation
bin100110001110110…
…110100101000000
31122200221220111022
4212032312211000
52303201142101
6143352005012
721616021553
oct4616664500
91580856438
10641427776
112aa084200
1215a990768
13a2b72282
146128c69a
153b4a2a1b
hex263b6940

641427776 has 84 divisors (see below), whose sum is σ = 1413371316. Its totient is φ = 288583680.

The previous prime is 641427767. The next prime is 641427779. The reversal of 641427776 is 677724146.

It can be written as a sum of positive squares in 2 ways, for example, as 315986176 + 325441600 = 17776^2 + 18040^2 .

It is a super-2 number, since 2×6414277762 = 822859183648612352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641427779) by changing a digit.

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, 874706 + ... + 875438.

It is an arithmetic number, because the mean of its divisors is an integer number (16825849).

Almost surely, 2641427776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706685658).

641427776 is an abundant number, since it is smaller than the sum of its proper divisors (771943540).

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

641427776 is a wasteful number, since it uses less digits than its factorization.

641427776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 859 counting only the distinct ones).

The product of its digits is 395136, while the sum is 44.

The square root of 641427776 is about 25326.4244614197. The cubic root of 641427776 is about 862.4142438297.

The spelling of 641427776 in words is "six hundred forty-one million, four hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 121 176 226 242 352 452 484 704 733 904 968 1243 1466 1808 1936 2486 2932 3616 3872 4972 5864 7232 7744 8063 9944 11728 13673 16126 19888 23456 27346 32252 39776 46912 54692 64504 79552 82829 88693 109384 129008 165658 177386 218768 258016 331316 354772 437536 516032 662632 709544 875072 911119 1325264 1419088 1822238 2650528 2838176 3644476 5301056 5676352 7288952 10022309 14577904 20044618 29155808 40089236 58311616 80178472 160356944 320713888 641427776