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644444020 = 2251159131379
BaseRepresentation
bin100110011010010…
…110111101110100
31122220122011000001
4212122112331310
52304434202040
6143540401044
721653453353
oct4632267564
91586564001
10644444020
11300854370
1215b9a6184
13a368a12c
146183599a
153b89b59a
hex26696f74

644444020 has 96 divisors (see below), whose sum is σ = 1516838400. Its totient is φ = 228009600.

The previous prime is 644444011. The next prime is 644444039. The reversal of 644444020 is 20444446.

It is a self number, because there is not a number n which added to its sum of digits gives 644444020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1700191 + ... + 1700569.

It is an arithmetic number, because the mean of its divisors is an integer number (15800400).

Almost surely, 2644444020 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 644444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758419200).

644444020 is an abundant number, since it is smaller than the sum of its proper divisors (872394380).

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

644444020 is a wasteful number, since it uses less digits than its factorization.

644444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 644444020 is about 25385.9019930354. The cubic root of 644444020 is about 863.7639333489.

Adding to 644444020 its reverse (20444446), we get a palindrome (664888466).

The spelling of 644444020 in words is "six hundred forty-four million, four hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 131 220 236 262 295 379 524 590 649 655 758 1180 1298 1310 1441 1516 1895 2596 2620 2882 3245 3790 4169 5764 6490 7205 7580 7729 8338 12980 14410 15458 16676 20845 22361 28820 30916 38645 41690 44722 49649 77290 83380 85019 89444 99298 111805 154580 170038 198596 223610 245971 248245 340076 425095 447220 491942 496490 546139 850190 983884 992980 1092278 1229855 1700380 2184556 2459710 2730695 2929291 4919420 5461390 5858582 10922780 11717164 14646455 29292910 32222201 58585820 64444402 128888804 161111005 322222010 644444020