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629445520 = 245114211699
BaseRepresentation
bin100101100001001…
…001001110010000
31121212102010221001
4211201021032100
52242114224040
6142243111344
721412125064
oct4541111620
91555363831
10629445520
112a333a810
12156972554
13a0538392
145d84daa4
153a3d759a
hex25849390

629445520 has 80 divisors (see below), whose sum is σ = 1601236800. Its totient is φ = 228211200.

The previous prime is 629445511. The next prime is 629445529. The reversal of 629445520 is 25544926.

It is an interprime number because it is at equal distance from previous prime (629445511) and next prime (629445529).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 629445520.

It is not an unprimeable number, because it can be changed into a prime (629445529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369631 + ... + 371329.

It is an arithmetic number, because the mean of its divisors is an integer number (20015460).

Almost surely, 2629445520 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 629445520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800618400).

629445520 is an abundant number, since it is smaller than the sum of its proper divisors (971791280).

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

629445520 is a wasteful number, since it uses less digits than its factorization.

629445520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 629445520 is about 25088.7528586018. The cubic root of 629445520 is about 857.0103146379.

The spelling of 629445520 in words is "six hundred twenty-nine million, four hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 421 440 842 880 1684 1699 2105 3368 3398 4210 4631 6736 6796 8420 8495 9262 13592 16840 16990 18524 18689 23155 27184 33680 33980 37048 37378 46310 67960 74096 74756 92620 93445 135920 149512 185240 186890 299024 370480 373780 715279 747560 1430558 1495120 2861116 3576395 5722232 7152790 7868069 11444464 14305580 15736138 28611160 31472276 39340345 57222320 62944552 78680690 125889104 157361380 314722760 629445520