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641402424 = 2332131036653
BaseRepresentation
bin100110001110110…
…000011000111000
31122200220121201100
4212032300120320
52303144334144
6143351251400
721615554625
oct4616603070
91580817640
10641402424
112aa067153
1215a979b60
13a2b63880
146128334c
153b49a269
hex263b0638

641402424 has 96 divisors (see below), whose sum is σ = 1889203680. Its totient is φ = 195409152.

The previous prime is 641402387. The next prime is 641402429. The reversal of 641402424 is 424204146.

It is a happy number.

641402424 is a `hidden beast` number, since 6 + 414 + 0 + 242 + 4 = 666.

It is a super-2 number, since 2×6414024242 = 822794139026151552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641402429) 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 23 ways as a sum of consecutive naturals, for example, 93082 + ... + 99734.

It is an arithmetic number, because the mean of its divisors is an integer number (19679205).

Almost surely, 2641402424 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 641402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944601840).

641402424 is an abundant number, since it is smaller than the sum of its proper divisors (1247801256).

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

641402424 is a wasteful number, since it uses less digits than its factorization.

641402424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6781 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 641402424 is about 25325.9239515560. The cubic root of 641402424 is about 862.4028815663.

It can be divided in two parts, 64140 and 2424, that added together give a square (66564 = 2582).

The spelling of 641402424 in words is "six hundred forty-one million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 103 104 117 156 206 234 309 312 412 468 618 824 927 936 1236 1339 1854 2472 2678 3708 4017 5356 6653 7416 8034 10712 12051 13306 16068 19959 24102 26612 32136 39918 48204 53224 59877 79836 86489 96408 119754 159672 172978 239508 259467 345956 479016 518934 685259 691912 778401 1037868 1370518 1556802 2055777 2075736 2741036 3113604 4111554 5482072 6167331 6227208 8223108 8908367 12334662 16446216 17816734 24669324 26725101 35633468 49338648 53450202 71266936 80175303 106900404 160350606 213800808 320701212 641402424