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644948096 = 27135371103
BaseRepresentation
bin100110011100010…
…010000010000000
31122221120202110112
4212130102002000
52310101314341
6143555250452
721660653102
oct4634220200
91587522415
10644948096
11301069061
1215bba9a28
13a38056c0
1461927572
153b94aaeb
hex26712080

644948096 has 128 divisors (see below), whose sum is σ = 1443536640. Its totient is φ = 285143040.

The previous prime is 644948093. The next prime is 644948107. The reversal of 644948096 is 690849446.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (644948093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6261581 + ... + 6261683.

It is an arithmetic number, because the mean of its divisors is an integer number (11277630).

Almost surely, 2644948096 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 644948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721768320).

644948096 is an abundant number, since it is smaller than the sum of its proper divisors (798588544).

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

644948096 is a wasteful number, since it uses less digits than its factorization.

644948096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The square root of 644948096 is about 25395.8283188401. The cubic root of 644948096 is about 863.9890830811.

It can be divided in two parts, 6449 and 48096, that added together give a palindrome (54545).

The spelling of 644948096 in words is "six hundred forty-four million, nine hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 71 103 104 106 128 142 206 208 212 284 412 416 424 568 689 824 832 848 923 1136 1339 1378 1648 1664 1696 1846 2272 2678 2756 3296 3392 3692 3763 4544 5356 5459 5512 6592 6784 7313 7384 7526 9088 10712 10918 11024 13184 14626 14768 15052 21424 21836 22048 29252 29536 30104 42848 43672 44096 48919 58504 59072 60208 70967 85696 87344 88192 95069 97838 117008 118144 120416 141934 171392 174688 190138 195676 234016 240832 283868 349376 380276 387589 391352 468032 481664 567736 698752 760552 775178 782704 936064 1135472 1521104 1550356 1565408 2270944 3042208 3100712 3130816 4541888 5038657 6084416 6201424 6261632 9083776 10077314 12168832 12402848 20154628 24805696 40309256 49611392 80618512 161237024 322474048 644948096