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645504444 = 2233133114831
BaseRepresentation
bin100110011110011…
…001110110111100
31122222122000122000
4212132121312330
52310222120234
6144015222300
721665461104
oct4636316674
91588560560
10645504444
11301409052
12160217990
13a396b9c0
1461a30204
153ba0a899
hex26799dbc

645504444 has 96 divisors (see below), whose sum is σ = 1860526080. Its totient is φ = 192196800.

The previous prime is 645504397. The next prime is 645504469. The reversal of 645504444 is 444405546.

645504444 is a `hidden beast` number, since 64 + 550 + 4 + 4 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 645504399 and 645504408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36109 + ... + 50939.

It is an arithmetic number, because the mean of its divisors is an integer number (19380480).

Almost surely, 2645504444 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 645504444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930263040).

645504444 is an abundant number, since it is smaller than the sum of its proper divisors (1215021636).

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

645504444 is a wasteful number, since it uses less digits than its factorization.

645504444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14888 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 645504444 is about 25406.7794889474. The cubic root of 645504444 is about 864.2374443846.

The spelling of 645504444 in words is "six hundred forty-five million, five hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1116 1209 1404 1612 1674 2418 3348 3627 4836 7254 10881 14508 14831 21762 29662 43524 44493 59324 88986 133479 177972 192803 266958 385606 400437 459761 533916 578409 771212 800874 919522 1156818 1379283 1601748 1735227 1839044 2313636 2758566 3470454 4137849 5205681 5517132 5976893 6940908 8275698 10411362 11953786 12413547 16551396 17930679 20822724 23907572 24827094 35861358 49654188 53792037 71722716 107584074 161376111 215168148 322752222 645504444