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644422420 = 2253141101251
BaseRepresentation
bin100110011010010…
…001101100010100
31122220121001101001
4212122101230110
52304433004140
6143540113044
721653333365
oct4632215424
91586531331
10644422420
1130083a114
1215b995784
13a3680355
146182bb6c
153b894e9a
hex26691b14

644422420 has 96 divisors (see below), whose sum is σ = 1450939392. Its totient is φ = 240000000.

The previous prime is 644422409. The next prime is 644422423. The reversal of 644422420 is 24224446.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644422423) 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 31 ways as a sum of consecutive naturals, for example, 2567295 + ... + 2567545.

It is an arithmetic number, because the mean of its divisors is an integer number (15113952).

Almost surely, 2644422420 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 644422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725469696).

644422420 is an abundant number, since it is smaller than the sum of its proper divisors (806516972).

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

644422420 is a wasteful number, since it uses less digits than its factorization.

644422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

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

The square root of 644422420 is about 25385.4765564880. The cubic root of 644422420 is about 863.7542829066.

Adding to 644422420 its reverse (24224446), we get a palindrome (668646866).

The spelling of 644422420 in words is "six hundred forty-four million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 101 124 155 164 202 205 251 310 404 410 502 505 620 820 1004 1010 1255 1271 2020 2510 2542 3131 4141 5020 5084 6262 6355 7781 8282 10291 12524 12710 15562 15655 16564 20582 20705 25351 25420 31124 31310 38905 41164 41410 50702 51455 62620 77810 82820 101404 102910 126755 128371 155620 205820 253510 256742 319021 507020 513484 638042 641855 785881 1039391 1276084 1283710 1571762 1595105 2078782 2567420 3143524 3190210 3929405 4157564 5196955 6380420 7858810 10393910 15717620 20787820 32221121 64442242 128884484 161105605 322211210 644422420