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644289840 = 243251137919
BaseRepresentation
bin100110011001110…
…001010100110000
31122220100022111200
4212121301110300
52304414233330
6143533211200
721652242015
oct4631612460
91586308450
10644289840
11300759547
1215b930b00
13a3634bbc
14617d570c
153b86aa60
hex26671530

644289840 has 120 divisors (see below), whose sum is σ = 2183163840. Its totient is φ = 170268672.

The previous prime is 644289827. The next prime is 644289871. The reversal of 644289840 is 48982446.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 77401 + ... + 85319.

It is an arithmetic number, because the mean of its divisors is an integer number (18193032).

Almost surely, 2644289840 is an apocalyptic number.

644289840 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 644289840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091581920).

644289840 is an abundant number, since it is smaller than the sum of its proper divisors (1538874000).

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

644289840 is a wasteful number, since it uses less digits than its factorization.

644289840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 644289840 is about 25382.8650865106. The cubic root of 644289840 is about 863.6950441250.

The spelling of 644289840 in words is "six hundred forty-four million, two hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 339 360 452 565 678 720 904 1017 1130 1356 1695 1808 2034 2260 2712 3390 4068 4520 5085 5424 6780 7919 8136 9040 10170 13560 15838 16272 20340 23757 27120 31676 39595 40680 47514 63352 71271 79190 81360 95028 118785 126704 142542 158380 190056 237570 285084 316760 356355 380112 475140 570168 633520 712710 894847 950280 1140336 1425420 1789694 1900560 2684541 2850840 3579388 4474235 5369082 5701680 7158776 8053623 8948470 10738164 13422705 14317552 16107246 17896940 21476328 26845410 32214492 35793880 40268115 42952656 53690820 64428984 71587760 80536230 107381640 128857968 161072460 214763280 322144920 644289840