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64211490 = 23257227449
BaseRepresentation
bin1111010011110…
…0101000100010
311110211021121100
43310330220202
5112414231430
610212135230
71406534340
oct364745042
9143737540
1064211490
1133278052
1219607516
13103c2b85
148756990
155985960
hex3d3ca22

64211490 has 96 divisors (see below), whose sum is σ = 192067200. Its totient is φ = 14579712.

The previous prime is 64211479. The next prime is 64211491. The reversal of 64211490 is 9411246.

64211490 is a `hidden beast` number, since 642 + 1 + 14 + 9 + 0 = 666.

64211490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64211491) 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 47 ways as a sum of consecutive naturals, for example, 142786 + ... + 143234.

It is an arithmetic number, because the mean of its divisors is an integer number (2000700).

Almost surely, 264211490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64211490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033600).

64211490 is an abundant number, since it is smaller than the sum of its proper divisors (127855710).

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

64211490 is a wasteful number, since it uses less digits than its factorization.

64211490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 64211490 is about 8013.2072230787. The cubic root of 64211490 is about 400.4401197256.

The spelling of 64211490 in words is "sixty-four million, two hundred eleven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 227 315 449 454 630 681 898 1135 1347 1362 1589 2043 2245 2270 2694 3143 3178 3405 4041 4086 4490 4767 6286 6735 6810 7945 8082 9429 9534 10215 13470 14301 15715 15890 18858 20205 20430 23835 28287 28602 31430 40410 47145 47670 56574 71505 94290 101923 141435 143010 203846 282870 305769 509615 611538 713461 917307 1019230 1426922 1528845 1834614 2140383 3057690 3567305 4280766 4586535 6421149 7134610 9173070 10701915 12842298 21403830 32105745 64211490