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644766444 = 2232719311433
BaseRepresentation
bin100110011011100…
…101101011101100
31122221020112021200
4212123211223230
52310030011234
6143551325500
721656265360
oct4633455354
91587215250
10644766444
11300a54633
1215bb20890
13a3770b0a
14618bb2a0
153b911d99
hex266e5aec

644766444 has 144 divisors (see below), whose sum is σ = 1971540480. Its totient is φ = 173560320.

The previous prime is 644766443. The next prime is 644766449. The reversal of 644766444 is 444667446.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 644766444.

It is not an unprimeable number, because it can be changed into a prime (644766443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1488852 + ... + 1489284.

Almost surely, 2644766444 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 644766444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985770240).

644766444 is an abundant number, since it is smaller than the sum of its proper divisors (1326774036).

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

644766444 is a wasteful number, since it uses less digits than its factorization.

644766444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 775 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The square root of 644766444 is about 25392.2516528172. The cubic root of 644766444 is about 863.9079602316.

The spelling of 644766444 in words is "six hundred forty-four million, seven hundred sixty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 311 342 399 433 532 622 684 798 866 933 1197 1244 1299 1596 1732 1866 2177 2394 2598 2799 3031 3732 3897 4354 4788 5196 5598 5909 6062 6531 7794 8227 8708 9093 11196 11818 12124 13062 15588 16454 17727 18186 19593 23636 24681 26124 27279 32908 35454 36372 39186 41363 49362 53181 54558 57589 70908 74043 78372 82726 98724 106362 109116 115178 124089 134663 148086 165452 172767 212724 230356 248178 269326 296172 345534 372267 403989 496356 518301 538652 691068 744534 807978 942641 1036602 1211967 1489068 1615956 1885282 2073204 2423934 2558597 2827923 3770564 4847868 5117194 5655846 7675791 8483769 10234388 11311692 15351582 16967538 17910179 23027373 30703164 33935076 35820358 46054746 53730537 71640716 92109492 107461074 161191611 214922148 322383222 644766444