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641632500 = 22325428517
BaseRepresentation
bin100110001111101…
…000100011110100
31122201100022022200
4212033220203310
52303224220000
6143400224500
721620533455
oct4617504364
91581308280
10641632500
112aa203aa3
1215aa6b130
13a2c14502
146130312c
153b4e3500
hex263e88f4

641632500 has 90 divisors (see below), whose sum is σ = 2026802778. Its totient is φ = 171096000.

The previous prime is 641632499. The next prime is 641632501. The reversal of 641632500 is 5236146.

641632500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (641632499) and next prime (641632501).

It can be written as a sum of positive squares in 5 ways, for example, as 130782096 + 510850404 = 11436^2 + 22602^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641632501) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8242 + ... + 36758.

Almost surely, 2641632500 is an apocalyptic number.

641632500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013401389).

641632500 is an abundant number, since it is smaller than the sum of its proper divisors (1385170278).

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

641632500 is a wasteful number, since it uses less digits than its factorization.

641632500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28547 (or 28527 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 641632500 is about 25330.4658464861. The cubic root of 641632500 is about 862.5059860958.

Adding to 641632500 its reverse (5236146), we get a palindrome (646868646).

The spelling of 641632500 in words is "six hundred forty-one million, six hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 28517 57034 85551 114068 142585 171102 256653 285170 342204 427755 513306 570340 712925 855510 1026612 1283265 1425850 1711020 2138775 2566530 2851700 3564625 4277550 5133060 6416325 7129250 8555100 10693875 12832650 14258500 17823125 21387750 25665300 32081625 35646250 42775500 53469375 64163250 71292500 106938750 128326500 160408125 213877500 320816250 641632500